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Finding the Fourth Proportional to 15,783.70, 21,781.49 and 8,710.12

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Solution

The fourth proportional to 15,783.70, 21,781.49 and 8,710.12 is: 12,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.70 : 21,781.49 = 8,710.12 : x
  2. Step 2: Convert to fraction form
    15,783.70/21,781.49 = 8,710.12/x
  3. Step 3: Cross multiply
    15,783.70x = 21,781.49 × 8,710.12
  4. Step 4: Simplify right side
    15,783.70x = 189,719,391.68
  5. Step 5: Solve for x
    x = 189,719,391.68/15,783.70
  6. Step 6: Final answer
    x = 12,019.96

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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.