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Finding the Fourth Proportional to 2,381.90, 3,572.30 and 842.90

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Solution

The fourth proportional to 2,381.90, 3,572.30 and 842.90 is: 1,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.90 : 3,572.30 = 842.90 : x
  2. Step 2: Convert to fraction form
    2,381.90/3,572.30 = 842.90/x
  3. Step 3: Cross multiply
    2,381.90x = 3,572.30 × 842.90
  4. Step 4: Simplify right side
    2,381.90x = 3,011,075.92
  5. Step 5: Solve for x
    x = 3,011,075.92/2,381.90
  6. Step 6: Final answer
    x = 1,264.15

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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.