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Finding the Fourth Proportional to 3,580.48, 5,372.64 and 1,528

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Solution

The fourth proportional to 3,580.48, 5,372.64 and 1,528 is: 2,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.48 : 5,372.64 = 1,528 : x
  2. Step 2: Convert to fraction form
    3,580.48/5,372.64 = 1,528/x
  3. Step 3: Cross multiply
    3,580.48x = 5,372.64 × 1,528
  4. Step 4: Simplify right side
    3,580.48x = 8,209,393.92
  5. Step 5: Solve for x
    x = 8,209,393.92/3,580.48
  6. Step 6: Final answer
    x = 2,292.82

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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.