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Finding the Fourth Proportional to 10,606.40, 15,909.60 and 5,422.40

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Solution

The fourth proportional to 10,606.40, 15,909.60 and 5,422.40 is: 8,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.40 : 15,909.60 = 5,422.40 : x
  2. Step 2: Convert to fraction form
    10,606.40/15,909.60 = 5,422.40/x
  3. Step 3: Cross multiply
    10,606.40x = 15,909.60 × 5,422.40
  4. Step 4: Simplify right side
    10,606.40x = 86,268,215.04
  5. Step 5: Solve for x
    x = 86,268,215.04/10,606.40
  6. Step 6: Final answer
    x = 8,133.60

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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.