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Finding the Fourth Proportional to 6,095.50, 9,143.28 and 1,478.50

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Solution

The fourth proportional to 6,095.50, 9,143.28 and 1,478.50 is: 2,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.50 : 9,143.28 = 1,478.50 : x
  2. Step 2: Convert to fraction form
    6,095.50/9,143.28 = 1,478.50/x
  3. Step 3: Cross multiply
    6,095.50x = 9,143.28 × 1,478.50
  4. Step 4: Simplify right side
    6,095.50x = 13,518,339.48
  5. Step 5: Solve for x
    x = 13,518,339.48/6,095.50
  6. Step 6: Final answer
    x = 2,217.76

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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.