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Finding the Fourth Proportional to 10,110.69, 13,940.71 and 8,929.71

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Solution

The fourth proportional to 10,110.69, 13,940.71 and 8,929.71 is: 12,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110.69 : 13,940.71 = 8,929.71 : x
  2. Step 2: Convert to fraction form
    10,110.69/13,940.71 = 8,929.71/x
  3. Step 3: Cross multiply
    10,110.69x = 13,940.71 × 8,929.71
  4. Step 4: Simplify right side
    10,110.69x = 124,486,475.17
  5. Step 5: Solve for x
    x = 124,486,475.17/10,110.69
  6. Step 6: Final answer
    x = 12,312.36

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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.