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Finding the Fourth Proportional to 8,470.68, 11,683.12 and 5,484.20

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Solution

The fourth proportional to 8,470.68, 11,683.12 and 5,484.20 is: 7,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.68 : 11,683.12 = 5,484.20 : x
  2. Step 2: Convert to fraction form
    8,470.68/11,683.12 = 5,484.20/x
  3. Step 3: Cross multiply
    8,470.68x = 11,683.12 × 5,484.20
  4. Step 4: Simplify right side
    8,470.68x = 64,072,566.70
  5. Step 5: Solve for x
    x = 64,072,566.70/8,470.68
  6. Step 6: Final answer
    x = 7,564.04

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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.