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Finding the Fourth Proportional to 7,641.84, 11,463.06 and 2,712

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Solution

The fourth proportional to 7,641.84, 11,463.06 and 2,712 is: 4,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.84 : 11,463.06 = 2,712 : x
  2. Step 2: Convert to fraction form
    7,641.84/11,463.06 = 2,712/x
  3. Step 3: Cross multiply
    7,641.84x = 11,463.06 × 2,712
  4. Step 4: Simplify right side
    7,641.84x = 31,087,818.72
  5. Step 5: Solve for x
    x = 31,087,818.72/7,641.84
  6. Step 6: Final answer
    x = 4,068.11

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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.