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Finding the Fourth Proportional to 12,374.40, 17,069.16 and 7,337.28

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Solution

The fourth proportional to 12,374.40, 17,069.16 and 7,337.28 is: 10,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.40 : 17,069.16 = 7,337.28 : x
  2. Step 2: Convert to fraction form
    12,374.40/17,069.16 = 7,337.28/x
  3. Step 3: Cross multiply
    12,374.40x = 17,069.16 × 7,337.28
  4. Step 4: Simplify right side
    12,374.40x = 125,241,206.28
  5. Step 5: Solve for x
    x = 125,241,206.28/12,374.40
  6. Step 6: Final answer
    x = 10,120.99

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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.