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Finding the Fourth Proportional to 11,098.71, 15,290.16 and 7,735.41

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Solution

The fourth proportional to 11,098.71, 15,290.16 and 7,735.41 is: 10,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.71 : 15,290.16 = 7,735.41 : x
  2. Step 2: Convert to fraction form
    11,098.71/15,290.16 = 7,735.41/x
  3. Step 3: Cross multiply
    11,098.71x = 15,290.16 × 7,735.41
  4. Step 4: Simplify right side
    11,098.71x = 118,275,656.57
  5. Step 5: Solve for x
    x = 118,275,656.57/11,098.71
  6. Step 6: Final answer
    x = 10,656.70

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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.