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Finding the Fourth Proportional to 9,415.92, 14,126.76 and 9,243.12

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Solution

The fourth proportional to 9,415.92, 14,126.76 and 9,243.12 is: 13,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.92 : 14,126.76 = 9,243.12 : x
  2. Step 2: Convert to fraction form
    9,415.92/14,126.76 = 9,243.12/x
  3. Step 3: Cross multiply
    9,415.92x = 14,126.76 × 9,243.12
  4. Step 4: Simplify right side
    9,415.92x = 130,575,337.89
  5. Step 5: Solve for x
    x = 130,575,337.89/9,415.92
  6. Step 6: Final answer
    x = 13,867.51

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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.