Home / 1,542.12-2,312.10-1,300.20

Finding the Fourth Proportional to 1,542.12, 2,312.10 and 1,300.20

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Solution

The fourth proportional to 1,542.12, 2,312.10 and 1,300.20 is: 1,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.12 : 2,312.10 = 1,300.20 : x
  2. Step 2: Convert to fraction form
    1,542.12/2,312.10 = 1,300.20/x
  3. Step 3: Cross multiply
    1,542.12x = 2,312.10 × 1,300.20
  4. Step 4: Simplify right side
    1,542.12x = 3,006,192.42
  5. Step 5: Solve for x
    x = 3,006,192.42/1,542.12
  6. Step 6: Final answer
    x = 1,949.39

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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.