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Finding the Fourth Proportional to 15,707.86, 21,677.87 and 9,743.49

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Solution

The fourth proportional to 15,707.86, 21,677.87 and 9,743.49 is: 13,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.86 : 21,677.87 = 9,743.49 : x
  2. Step 2: Convert to fraction form
    15,707.86/21,677.87 = 9,743.49/x
  3. Step 3: Cross multiply
    15,707.86x = 21,677.87 × 9,743.49
  4. Step 4: Simplify right side
    15,707.86x = 211,218,109.57
  5. Step 5: Solve for x
    x = 211,218,109.57/15,707.86
  6. Step 6: Final answer
    x = 13,446.65

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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.