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Finding the Fourth Proportional to 9,913.50, 13,680.63 and 5,497.50

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Solution

The fourth proportional to 9,913.50, 13,680.63 and 5,497.50 is: 7,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.50 : 13,680.63 = 5,497.50 : x
  2. Step 2: Convert to fraction form
    9,913.50/13,680.63 = 5,497.50/x
  3. Step 3: Cross multiply
    9,913.50x = 13,680.63 × 5,497.50
  4. Step 4: Simplify right side
    9,913.50x = 75,209,263.43
  5. Step 5: Solve for x
    x = 75,209,263.43/9,913.50
  6. Step 6: Final answer
    x = 7,586.55

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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.