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Finding the Fourth Proportional to 13,681.52, 20,514.08 and 6,647.68

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Solution

The fourth proportional to 13,681.52, 20,514.08 and 6,647.68 is: 9,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.52 : 20,514.08 = 6,647.68 : x
  2. Step 2: Convert to fraction form
    13,681.52/20,514.08 = 6,647.68/x
  3. Step 3: Cross multiply
    13,681.52x = 20,514.08 × 6,647.68
  4. Step 4: Simplify right side
    13,681.52x = 136,371,006.10
  5. Step 5: Solve for x
    x = 136,371,006.10/13,681.52
  6. Step 6: Final answer
    x = 9,967.53

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1.5x scale

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.