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Finding the Fourth Proportional to 9,113, 12,572.34 and 5,754.56

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Solution

The fourth proportional to 9,113, 12,572.34 and 5,754.56 is: 7,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113 : 12,572.34 = 5,754.56 : x
  2. Step 2: Convert to fraction form
    9,113/12,572.34 = 5,754.56/x
  3. Step 3: Cross multiply
    9,113x = 12,572.34 × 5,754.56
  4. Step 4: Simplify right side
    9,113x = 72,348,284.87
  5. Step 5: Solve for x
    x = 72,348,284.87/9,113
  6. Step 6: Final answer
    x = 7,939.02

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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.