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Finding the Fourth Proportional to 10,969.40, 16,454.10 and 6,287.60

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Solution

The fourth proportional to 10,969.40, 16,454.10 and 6,287.60 is: 9,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.40 : 16,454.10 = 6,287.60 : x
  2. Step 2: Convert to fraction form
    10,969.40/16,454.10 = 6,287.60/x
  3. Step 3: Cross multiply
    10,969.40x = 16,454.10 × 6,287.60
  4. Step 4: Simplify right side
    10,969.40x = 103,456,799.16
  5. Step 5: Solve for x
    x = 103,456,799.16/10,969.40
  6. Step 6: Final answer
    x = 9,431.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.