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Finding the Fourth Proportional to 9,985.67, 14,978.51 and 3,411.92

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Solution

The fourth proportional to 9,985.67, 14,978.51 and 3,411.92 is: 5,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.67 : 14,978.51 = 3,411.92 : x
  2. Step 2: Convert to fraction form
    9,985.67/14,978.51 = 3,411.92/x
  3. Step 3: Cross multiply
    9,985.67x = 14,978.51 × 3,411.92
  4. Step 4: Simplify right side
    9,985.67x = 51,105,477.84
  5. Step 5: Solve for x
    x = 51,105,477.84/9,985.67
  6. Step 6: Final answer
    x = 5,117.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.