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Finding the Fourth Proportional to 9,913.76, 13,681.36 and 5,497.76

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Solution

The fourth proportional to 9,913.76, 13,681.36 and 5,497.76 is: 7,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.76 : 13,681.36 = 5,497.76 : x
  2. Step 2: Convert to fraction form
    9,913.76/13,681.36 = 5,497.76/x
  3. Step 3: Cross multiply
    9,913.76x = 13,681.36 × 5,497.76
  4. Step 4: Simplify right side
    9,913.76x = 75,216,833.75
  5. Step 5: Solve for x
    x = 75,216,833.75/9,913.76
  6. Step 6: Final answer
    x = 7,587.11

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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.