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Finding the Fourth Proportional to 15,756.71, 21,743.13 and 9,042.17

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Solution

The fourth proportional to 15,756.71, 21,743.13 and 9,042.17 is: 12,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.71 : 21,743.13 = 9,042.17 : x
  2. Step 2: Convert to fraction form
    15,756.71/21,743.13 = 9,042.17/x
  3. Step 3: Cross multiply
    15,756.71x = 21,743.13 × 9,042.17
  4. Step 4: Simplify right side
    15,756.71x = 196,604,969.08
  5. Step 5: Solve for x
    x = 196,604,969.08/15,756.71
  6. Step 6: Final answer
    x = 12,477.54

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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.