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Finding the Fourth Proportional to 6,984, 9,637.92 and 4,040

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Solution

The fourth proportional to 6,984, 9,637.92 and 4,040 is: 5,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 9,637.92 = 4,040 : x
  2. Step 2: Convert to fraction form
    6,984/9,637.92 = 4,040/x
  3. Step 3: Cross multiply
    6,984x = 9,637.92 × 4,040
  4. Step 4: Simplify right side
    6,984x = 38,937,196.80
  5. Step 5: Solve for x
    x = 38,937,196.80/6,984
  6. Step 6: Final answer
    x = 5,575.20

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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.