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Finding the Fourth Proportional to 9,312, 12,851.28 and 6,524.16

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Solution

The fourth proportional to 9,312, 12,851.28 and 6,524.16 is: 9,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312 : 12,851.28 = 6,524.16 : x
  2. Step 2: Convert to fraction form
    9,312/12,851.28 = 6,524.16/x
  3. Step 3: Cross multiply
    9,312x = 12,851.28 × 6,524.16
  4. Step 4: Simplify right side
    9,312x = 83,843,806.92
  5. Step 5: Solve for x
    x = 83,843,806.92/9,312
  6. Step 6: Final answer
    x = 9,003.85

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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.