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Finding the Fourth Proportional to 8,470.70, 11,700.71 and 6,505.54

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Solution

The fourth proportional to 8,470.70, 11,700.71 and 6,505.54 is: 8,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.70 : 11,700.71 = 6,505.54 : x
  2. Step 2: Convert to fraction form
    8,470.70/11,700.71 = 6,505.54/x
  3. Step 3: Cross multiply
    8,470.70x = 11,700.71 × 6,505.54
  4. Step 4: Simplify right side
    8,470.70x = 76,119,345.90
  5. Step 5: Solve for x
    x = 76,119,345.90/8,470.70
  6. Step 6: Final answer
    x = 8,986.20

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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.