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Finding the Fourth Proportional to 9,312.81, 12,833.62 and 7,721.76

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Solution

The fourth proportional to 9,312.81, 12,833.62 and 7,721.76 is: 10,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.81 : 12,833.62 = 7,721.76 : x
  2. Step 2: Convert to fraction form
    9,312.81/12,833.62 = 7,721.76/x
  3. Step 3: Cross multiply
    9,312.81x = 12,833.62 × 7,721.76
  4. Step 4: Simplify right side
    9,312.81x = 99,098,133.57
  5. Step 5: Solve for x
    x = 99,098,133.57/9,312.81
  6. Step 6: Final answer
    x = 10,641.06

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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.