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Finding the Fourth Proportional to 2,267.76, 3,130.24 and 1,323.76

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Solution

The fourth proportional to 2,267.76, 3,130.24 and 1,323.76 is: 1,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.76 : 3,130.24 = 1,323.76 : x
  2. Step 2: Convert to fraction form
    2,267.76/3,130.24 = 1,323.76/x
  3. Step 3: Cross multiply
    2,267.76x = 3,130.24 × 1,323.76
  4. Step 4: Simplify right side
    2,267.76x = 4,143,686.50
  5. Step 5: Solve for x
    x = 4,143,686.50/2,267.76
  6. Step 6: Final answer
    x = 1,827.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.