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Finding the Fourth Proportional to 3,702.52, 5,553.76 and 1,392.40

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Solution

The fourth proportional to 3,702.52, 5,553.76 and 1,392.40 is: 2,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.52 : 5,553.76 = 1,392.40 : x
  2. Step 2: Convert to fraction form
    3,702.52/5,553.76 = 1,392.40/x
  3. Step 3: Cross multiply
    3,702.52x = 5,553.76 × 1,392.40
  4. Step 4: Simplify right side
    3,702.52x = 7,733,055.42
  5. Step 5: Solve for x
    x = 7,733,055.42/3,702.52
  6. Step 6: Final answer
    x = 2,088.59

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1.5x scale

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.