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Finding the Fourth Proportional to 9,639.40, 13,301.86 and 5,447.40

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Solution

The fourth proportional to 9,639.40, 13,301.86 and 5,447.40 is: 7,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.40 : 13,301.86 = 5,447.40 : x
  2. Step 2: Convert to fraction form
    9,639.40/13,301.86 = 5,447.40/x
  3. Step 3: Cross multiply
    9,639.40x = 13,301.86 × 5,447.40
  4. Step 4: Simplify right side
    9,639.40x = 72,460,552.16
  5. Step 5: Solve for x
    x = 72,460,552.16/9,639.40
  6. Step 6: Final answer
    x = 7,517.12

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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.