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Finding the Fourth Proportional to 6,920.81, 9,549.25 and 4,402

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Solution

The fourth proportional to 6,920.81, 9,549.25 and 4,402 is: 6,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.81 : 9,549.25 = 4,402 : x
  2. Step 2: Convert to fraction form
    6,920.81/9,549.25 = 4,402/x
  3. Step 3: Cross multiply
    6,920.81x = 9,549.25 × 4,402
  4. Step 4: Simplify right side
    6,920.81x = 42,035,798.50
  5. Step 5: Solve for x
    x = 42,035,798.50/6,920.81
  6. Step 6: Final answer
    x = 6,073.83

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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.