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Finding the Fourth Proportional to 8,913.15, 13,400.10 and 7,281.54

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Solution

The fourth proportional to 8,913.15, 13,400.10 and 7,281.54 is: 10,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.15 : 13,400.10 = 7,281.54 : x
  2. Step 2: Convert to fraction form
    8,913.15/13,400.10 = 7,281.54/x
  3. Step 3: Cross multiply
    8,913.15x = 13,400.10 × 7,281.54
  4. Step 4: Simplify right side
    8,913.15x = 97,573,364.15
  5. Step 5: Solve for x
    x = 97,573,364.15/8,913.15
  6. Step 6: Final answer
    x = 10,947.12

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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.