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Finding the Fourth Proportional to 13,702.80, 18,909.64 and 7,415.12

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Solution

The fourth proportional to 13,702.80, 18,909.64 and 7,415.12 is: 10,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.80 : 18,909.64 = 7,415.12 : x
  2. Step 2: Convert to fraction form
    13,702.80/18,909.64 = 7,415.12/x
  3. Step 3: Cross multiply
    13,702.80x = 18,909.64 × 7,415.12
  4. Step 4: Simplify right side
    13,702.80x = 140,217,249.76
  5. Step 5: Solve for x
    x = 140,217,249.76/13,702.80
  6. Step 6: Final answer
    x = 10,232.74

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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.