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Finding the Fourth Proportional to 9,141, 13,713.66 and 2,985

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Solution

The fourth proportional to 9,141, 13,713.66 and 2,985 is: 4,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141 : 13,713.66 = 2,985 : x
  2. Step 2: Convert to fraction form
    9,141/13,713.66 = 2,985/x
  3. Step 3: Cross multiply
    9,141x = 13,713.66 × 2,985
  4. Step 4: Simplify right side
    9,141x = 40,935,275.10
  5. Step 5: Solve for x
    x = 40,935,275.10/9,141
  6. Step 6: Final answer
    x = 4,478.21

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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.