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Finding the Fourth Proportional to 7,242.43, 10,002.78 and 4,880.47

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Solution

The fourth proportional to 7,242.43, 10,002.78 and 4,880.47 is: 6,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.43 : 10,002.78 = 4,880.47 : x
  2. Step 2: Convert to fraction form
    7,242.43/10,002.78 = 4,880.47/x
  3. Step 3: Cross multiply
    7,242.43x = 10,002.78 × 4,880.47
  4. Step 4: Simplify right side
    7,242.43x = 48,818,267.71
  5. Step 5: Solve for x
    x = 48,818,267.71/7,242.43
  6. Step 6: Final answer
    x = 6,740.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.