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Finding the Fourth Proportional to 5,007.76, 7,512.04 and 1,545

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Solution

The fourth proportional to 5,007.76, 7,512.04 and 1,545 is: 2,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.76 : 7,512.04 = 1,545 : x
  2. Step 2: Convert to fraction form
    5,007.76/7,512.04 = 1,545/x
  3. Step 3: Cross multiply
    5,007.76x = 7,512.04 × 1,545
  4. Step 4: Simplify right side
    5,007.76x = 11,606,101.80
  5. Step 5: Solve for x
    x = 11,606,101.80/5,007.76
  6. Step 6: Final answer
    x = 2,317.62

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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.