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Finding the Fourth Proportional to 9,729, 13,428.12 and 6,191.46

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Solution

The fourth proportional to 9,729, 13,428.12 and 6,191.46 is: 8,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 13,428.12 = 6,191.46 : x
  2. Step 2: Convert to fraction form
    9,729/13,428.12 = 6,191.46/x
  3. Step 3: Cross multiply
    9,729x = 13,428.12 × 6,191.46
  4. Step 4: Simplify right side
    9,729x = 83,139,667.86
  5. Step 5: Solve for x
    x = 83,139,667.86/9,729
  6. Step 6: Final answer
    x = 8,545.55

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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.