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Finding the Fourth Proportional to 9,889.74, 13,648.50 and 5,698.26

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Solution

The fourth proportional to 9,889.74, 13,648.50 and 5,698.26 is: 7,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.74 : 13,648.50 = 5,698.26 : x
  2. Step 2: Convert to fraction form
    9,889.74/13,648.50 = 5,698.26/x
  3. Step 3: Cross multiply
    9,889.74x = 13,648.50 × 5,698.26
  4. Step 4: Simplify right side
    9,889.74x = 77,772,701.61
  5. Step 5: Solve for x
    x = 77,772,701.61/9,889.74
  6. Step 6: Final answer
    x = 7,863.98

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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.