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Finding the Fourth Proportional to 10,751.70, 16,127.55 and 2,854.20

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Solution

The fourth proportional to 10,751.70, 16,127.55 and 2,854.20 is: 4,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751.70 : 16,127.55 = 2,854.20 : x
  2. Step 2: Convert to fraction form
    10,751.70/16,127.55 = 2,854.20/x
  3. Step 3: Cross multiply
    10,751.70x = 16,127.55 × 2,854.20
  4. Step 4: Simplify right side
    10,751.70x = 46,031,253.21
  5. Step 5: Solve for x
    x = 46,031,253.21/10,751.70
  6. Step 6: Final answer
    x = 4,281.30

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1.5x scale

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.