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Finding the Fourth Proportional to 4,397.76, 6,602.40 and 3,470.40

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Solution

The fourth proportional to 4,397.76, 6,602.40 and 3,470.40 is: 5,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.76 : 6,602.40 = 3,470.40 : x
  2. Step 2: Convert to fraction form
    4,397.76/6,602.40 = 3,470.40/x
  3. Step 3: Cross multiply
    4,397.76x = 6,602.40 × 3,470.40
  4. Step 4: Simplify right side
    4,397.76x = 22,912,968.96
  5. Step 5: Solve for x
    x = 22,912,968.96/4,397.76
  6. Step 6: Final answer
    x = 5,210.15

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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.