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Finding the Fourth Proportional to 12,470.77, 18,710.66 and 7,721.40

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Solution

The fourth proportional to 12,470.77, 18,710.66 and 7,721.40 is: 11,584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.77 : 18,710.66 = 7,721.40 : x
  2. Step 2: Convert to fraction form
    12,470.77/18,710.66 = 7,721.40/x
  3. Step 3: Cross multiply
    12,470.77x = 18,710.66 × 7,721.40
  4. Step 4: Simplify right side
    12,470.77x = 144,472,490.12
  5. Step 5: Solve for x
    x = 144,472,490.12/12,470.77
  6. Step 6: Final answer
    x = 11,584.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.