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Finding the Fourth Proportional to 12,877.52, 17,774.24 and 7,291.76

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Solution

The fourth proportional to 12,877.52, 17,774.24 and 7,291.76 is: 10,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.52 : 17,774.24 = 7,291.76 : x
  2. Step 2: Convert to fraction form
    12,877.52/17,774.24 = 7,291.76/x
  3. Step 3: Cross multiply
    12,877.52x = 17,774.24 × 7,291.76
  4. Step 4: Simplify right side
    12,877.52x = 129,605,492.26
  5. Step 5: Solve for x
    x = 129,605,492.26/12,877.52
  6. Step 6: Final answer
    x = 10,064.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.