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Finding the Fourth Proportional to 3,587.46, 5,384.42 and 1,509

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Solution

The fourth proportional to 3,587.46, 5,384.42 and 1,509 is: 2,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.46 : 5,384.42 = 1,509 : x
  2. Step 2: Convert to fraction form
    3,587.46/5,384.42 = 1,509/x
  3. Step 3: Cross multiply
    3,587.46x = 5,384.42 × 1,509
  4. Step 4: Simplify right side
    3,587.46x = 8,125,089.78
  5. Step 5: Solve for x
    x = 8,125,089.78/3,587.46
  6. Step 6: Final answer
    x = 2,264.86

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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.