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Finding the Fourth Proportional to 12,254.76, 18,381.76 and 7,291.16

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Solution

The fourth proportional to 12,254.76, 18,381.76 and 7,291.16 is: 10,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.76 : 18,381.76 = 7,291.16 : x
  2. Step 2: Convert to fraction form
    12,254.76/18,381.76 = 7,291.16/x
  3. Step 3: Cross multiply
    12,254.76x = 18,381.76 × 7,291.16
  4. Step 4: Simplify right side
    12,254.76x = 134,024,353.24
  5. Step 5: Solve for x
    x = 134,024,353.24/12,254.76
  6. Step 6: Final answer
    x = 10,936.51

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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.