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Finding the Fourth Proportional to 9,170.76, 13,746.42 and 7,868.28

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Solution

The fourth proportional to 9,170.76, 13,746.42 and 7,868.28 is: 11,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.76 : 13,746.42 = 7,868.28 : x
  2. Step 2: Convert to fraction form
    9,170.76/13,746.42 = 7,868.28/x
  3. Step 3: Cross multiply
    9,170.76x = 13,746.42 × 7,868.28
  4. Step 4: Simplify right side
    9,170.76x = 108,160,681.56
  5. Step 5: Solve for x
    x = 108,160,681.56/9,170.76
  6. Step 6: Final answer
    x = 11,794.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.