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Finding the Fourth Proportional to 12,574.47, 18,868.61 and 7,647.57

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Solution

The fourth proportional to 12,574.47, 18,868.61 and 7,647.57 is: 11,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.47 : 18,868.61 = 7,647.57 : x
  2. Step 2: Convert to fraction form
    12,574.47/18,868.61 = 7,647.57/x
  3. Step 3: Cross multiply
    12,574.47x = 18,868.61 × 7,647.57
  4. Step 4: Simplify right side
    12,574.47x = 144,299,034.90
  5. Step 5: Solve for x
    x = 144,299,034.90/12,574.47
  6. Step 6: Final answer
    x = 11,475.55

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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.