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Finding the Fourth Proportional to 6,446.49, 9,713.64 and 5,302.11

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Solution

The fourth proportional to 6,446.49, 9,713.64 and 5,302.11 is: 7,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.49 : 9,713.64 = 5,302.11 : x
  2. Step 2: Convert to fraction form
    6,446.49/9,713.64 = 5,302.11/x
  3. Step 3: Cross multiply
    6,446.49x = 9,713.64 × 5,302.11
  4. Step 4: Simplify right side
    6,446.49x = 51,502,787.78
  5. Step 5: Solve for x
    x = 51,502,787.78/6,446.49
  6. Step 6: Final answer
    x = 7,989.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.