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Finding the Fourth Proportional to 7,281.76, 10,916.88 and 4,540

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Solution

The fourth proportional to 7,281.76, 10,916.88 and 4,540 is: 6,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.76 : 10,916.88 = 4,540 : x
  2. Step 2: Convert to fraction form
    7,281.76/10,916.88 = 4,540/x
  3. Step 3: Cross multiply
    7,281.76x = 10,916.88 × 4,540
  4. Step 4: Simplify right side
    7,281.76x = 49,562,635.20
  5. Step 5: Solve for x
    x = 49,562,635.20/7,281.76
  6. Step 6: Final answer
    x = 6,806.41

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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.