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Finding the Fourth Proportional to 2,730, 4,095.36 and 880.50

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Solution

The fourth proportional to 2,730, 4,095.36 and 880.50 is: 1,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730 : 4,095.36 = 880.50 : x
  2. Step 2: Convert to fraction form
    2,730/4,095.36 = 880.50/x
  3. Step 3: Cross multiply
    2,730x = 4,095.36 × 880.50
  4. Step 4: Simplify right side
    2,730x = 3,605,964.48
  5. Step 5: Solve for x
    x = 3,605,964.48/2,730
  6. Step 6: Final answer
    x = 1,320.87

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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.