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Finding the Fourth Proportional to 14,693.19, 20,270.84 and 8,402.19

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Solution

The fourth proportional to 14,693.19, 20,270.84 and 8,402.19 is: 11,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.19 : 20,270.84 = 8,402.19 : x
  2. Step 2: Convert to fraction form
    14,693.19/20,270.84 = 8,402.19/x
  3. Step 3: Cross multiply
    14,693.19x = 20,270.84 × 8,402.19
  4. Step 4: Simplify right side
    14,693.19x = 170,319,407.13
  5. Step 5: Solve for x
    x = 170,319,407.13/14,693.19
  6. Step 6: Final answer
    x = 11,591.72

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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.