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Finding the Fourth Proportional to 5,076, 7,614 and 1,613.52

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Solution

The fourth proportional to 5,076, 7,614 and 1,613.52 is: 2,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076 : 7,614 = 1,613.52 : x
  2. Step 2: Convert to fraction form
    5,076/7,614 = 1,613.52/x
  3. Step 3: Cross multiply
    5,076x = 7,614 × 1,613.52
  4. Step 4: Simplify right side
    5,076x = 12,285,341.28
  5. Step 5: Solve for x
    x = 12,285,341.28/5,076
  6. Step 6: Final answer
    x = 2,420.28

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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.