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Finding the Fourth Proportional to 13,702.61, 18,909.61 and 7,415.03

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Solution

The fourth proportional to 13,702.61, 18,909.61 and 7,415.03 is: 10,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.61 : 18,909.61 = 7,415.03 : x
  2. Step 2: Convert to fraction form
    13,702.61/18,909.61 = 7,415.03/x
  3. Step 3: Cross multiply
    13,702.61x = 18,909.61 × 7,415.03
  4. Step 4: Simplify right side
    13,702.61x = 140,215,212.35
  5. Step 5: Solve for x
    x = 140,215,212.35/13,702.61
  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.