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Finding the Fourth Proportional to 5,906.72, 8,869.80 and 5,182.40

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Solution

The fourth proportional to 5,906.72, 8,869.80 and 5,182.40 is: 7,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.72 : 8,869.80 = 5,182.40 : x
  2. Step 2: Convert to fraction form
    5,906.72/8,869.80 = 5,182.40/x
  3. Step 3: Cross multiply
    5,906.72x = 8,869.80 × 5,182.40
  4. Step 4: Simplify right side
    5,906.72x = 45,966,851.52
  5. Step 5: Solve for x
    x = 45,966,851.52/5,906.72
  6. Step 6: Final answer
    x = 7,782.13

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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.