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Finding the Fourth Proportional to 9,124.56, 12,574.80 and 8,418.60

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Solution

The fourth proportional to 9,124.56, 12,574.80 and 8,418.60 is: 11,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.56 : 12,574.80 = 8,418.60 : x
  2. Step 2: Convert to fraction form
    9,124.56/12,574.80 = 8,418.60/x
  3. Step 3: Cross multiply
    9,124.56x = 12,574.80 × 8,418.60
  4. Step 4: Simplify right side
    9,124.56x = 105,862,211.28
  5. Step 5: Solve for x
    x = 105,862,211.28/9,124.56
  6. Step 6: Final answer
    x = 11,601.90

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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.