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Finding the Fourth Proportional to 9,884.40, 13,641.74 and 6,484.28

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Solution

The fourth proportional to 9,884.40, 13,641.74 and 6,484.28 is: 8,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.40 : 13,641.74 = 6,484.28 : x
  2. Step 2: Convert to fraction form
    9,884.40/13,641.74 = 6,484.28/x
  3. Step 3: Cross multiply
    9,884.40x = 13,641.74 × 6,484.28
  4. Step 4: Simplify right side
    9,884.40x = 88,456,761.22
  5. Step 5: Solve for x
    x = 88,456,761.22/9,884.40
  6. Step 6: Final answer
    x = 8,949.13

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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.