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Finding the Fourth Proportional to 8,470.71, 11,688.69 and 4,693.79

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Solution

The fourth proportional to 8,470.71, 11,688.69 and 4,693.79 is: 6,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.71 : 11,688.69 = 4,693.79 : x
  2. Step 2: Convert to fraction form
    8,470.71/11,688.69 = 4,693.79/x
  3. Step 3: Cross multiply
    8,470.71x = 11,688.69 × 4,693.79
  4. Step 4: Simplify right side
    8,470.71x = 54,864,197.79
  5. Step 5: Solve for x
    x = 54,864,197.79/8,470.71
  6. Step 6: Final answer
    x = 6,476.93

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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.