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Finding the Fourth Proportional to 9,280.76, 13,920.50 and 4,351.50

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Solution

The fourth proportional to 9,280.76, 13,920.50 and 4,351.50 is: 6,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.76 : 13,920.50 = 4,351.50 : x
  2. Step 2: Convert to fraction form
    9,280.76/13,920.50 = 4,351.50/x
  3. Step 3: Cross multiply
    9,280.76x = 13,920.50 × 4,351.50
  4. Step 4: Simplify right side
    9,280.76x = 60,575,055.75
  5. Step 5: Solve for x
    x = 60,575,055.75/9,280.76
  6. Step 6: Final answer
    x = 6,526.95

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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.