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Finding the Fourth Proportional to 10,909.40, 15,056.40 and 6,659.58

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Solution

The fourth proportional to 10,909.40, 15,056.40 and 6,659.58 is: 9,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.40 : 15,056.40 = 6,659.58 : x
  2. Step 2: Convert to fraction form
    10,909.40/15,056.40 = 6,659.58/x
  3. Step 3: Cross multiply
    10,909.40x = 15,056.40 × 6,659.58
  4. Step 4: Simplify right side
    10,909.40x = 100,269,300.31
  5. Step 5: Solve for x
    x = 100,269,300.31/10,909.40
  6. Step 6: Final answer
    x = 9,191.10

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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.