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Finding the Fourth Proportional to 9,891.04, 13,648.08 and 5,698.72

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Solution

The fourth proportional to 9,891.04, 13,648.08 and 5,698.72 is: 7,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.04 : 13,648.08 = 5,698.72 : x
  2. Step 2: Convert to fraction form
    9,891.04/13,648.08 = 5,698.72/x
  3. Step 3: Cross multiply
    9,891.04x = 13,648.08 × 5,698.72
  4. Step 4: Simplify right side
    9,891.04x = 77,776,586.46
  5. Step 5: Solve for x
    x = 77,776,586.46/9,891.04
  6. Step 6: Final answer
    x = 7,863.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.