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Finding the Fourth Proportional to 6,471, 8,929.98 and 3,527

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Solution

The fourth proportional to 6,471, 8,929.98 and 3,527 is: 4,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471 : 8,929.98 = 3,527 : x
  2. Step 2: Convert to fraction form
    6,471/8,929.98 = 3,527/x
  3. Step 3: Cross multiply
    6,471x = 8,929.98 × 3,527
  4. Step 4: Simplify right side
    6,471x = 31,496,039.46
  5. Step 5: Solve for x
    x = 31,496,039.46/6,471
  6. Step 6: Final answer
    x = 4,867.26

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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.