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Finding the Fourth Proportional to 7,881.84, 10,892.61 and 6,463.32

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Solution

The fourth proportional to 7,881.84, 10,892.61 and 6,463.32 is: 8,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.84 : 10,892.61 = 6,463.32 : x
  2. Step 2: Convert to fraction form
    7,881.84/10,892.61 = 6,463.32/x
  3. Step 3: Cross multiply
    7,881.84x = 10,892.61 × 6,463.32
  4. Step 4: Simplify right side
    7,881.84x = 70,402,424.07
  5. Step 5: Solve for x
    x = 70,402,424.07/7,881.84
  6. Step 6: Final answer
    x = 8,932.23

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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.