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Finding the Fourth Proportional to 9,340, 12,889.20 and 5,614

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Solution

The fourth proportional to 9,340, 12,889.20 and 5,614 is: 7,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340 : 12,889.20 = 5,614 : x
  2. Step 2: Convert to fraction form
    9,340/12,889.20 = 5,614/x
  3. Step 3: Cross multiply
    9,340x = 12,889.20 × 5,614
  4. Step 4: Simplify right side
    9,340x = 72,359,968.80
  5. Step 5: Solve for x
    x = 72,359,968.80/9,340
  6. Step 6: Final answer
    x = 7,747.32

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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.