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Finding the Fourth Proportional to 5,103.93, 7,656 and 1,641.18

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Solution

The fourth proportional to 5,103.93, 7,656 and 1,641.18 is: 2,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.93 : 7,656 = 1,641.18 : x
  2. Step 2: Convert to fraction form
    5,103.93/7,656 = 1,641.18/x
  3. Step 3: Cross multiply
    5,103.93x = 7,656 × 1,641.18
  4. Step 4: Simplify right side
    5,103.93x = 12,564,874.08
  5. Step 5: Solve for x
    x = 12,564,874.08/5,103.93
  6. Step 6: Final answer
    x = 2,461.80

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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.