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Finding the Fourth Proportional to 12,574.72, 17,353.28 and 6,986.24

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Solution

The fourth proportional to 12,574.72, 17,353.28 and 6,986.24 is: 9,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.72 : 17,353.28 = 6,986.24 : x
  2. Step 2: Convert to fraction form
    12,574.72/17,353.28 = 6,986.24/x
  3. Step 3: Cross multiply
    12,574.72x = 17,353.28 × 6,986.24
  4. Step 4: Simplify right side
    12,574.72x = 121,234,178.87
  5. Step 5: Solve for x
    x = 121,234,178.87/12,574.72
  6. Step 6: Final answer
    x = 9,641.10

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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.