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Finding the Fourth Proportional to 5,505.62, 8,258.95 and 1,557

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Solution

The fourth proportional to 5,505.62, 8,258.95 and 1,557 is: 2,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.62 : 8,258.95 = 1,557 : x
  2. Step 2: Convert to fraction form
    5,505.62/8,258.95 = 1,557/x
  3. Step 3: Cross multiply
    5,505.62x = 8,258.95 × 1,557
  4. Step 4: Simplify right side
    5,505.62x = 12,859,181.26
  5. Step 5: Solve for x
    x = 12,859,181.26/5,505.62
  6. Step 6: Final answer
    x = 2,335.65

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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.