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Finding the Fourth Proportional to 5,153.54, 7,730.16 and 1,257.86

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Solution

The fourth proportional to 5,153.54, 7,730.16 and 1,257.86 is: 1,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.54 : 7,730.16 = 1,257.86 : x
  2. Step 2: Convert to fraction form
    5,153.54/7,730.16 = 1,257.86/x
  3. Step 3: Cross multiply
    5,153.54x = 7,730.16 × 1,257.86
  4. Step 4: Simplify right side
    5,153.54x = 9,723,459.06
  5. Step 5: Solve for x
    x = 9,723,459.06/5,153.54
  6. Step 6: Final answer
    x = 1,886.75

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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.