Home / 1,410.12-2,111.40-861.20

Finding the Fourth Proportional to 1,410.12, 2,111.40 and 861.20

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Solution

The fourth proportional to 1,410.12, 2,111.40 and 861.20 is: 1,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.12 : 2,111.40 = 861.20 : x
  2. Step 2: Convert to fraction form
    1,410.12/2,111.40 = 861.20/x
  3. Step 3: Cross multiply
    1,410.12x = 2,111.40 × 861.20
  4. Step 4: Simplify right side
    1,410.12x = 1,818,337.68
  5. Step 5: Solve for x
    x = 1,818,337.68/1,410.12
  6. Step 6: Final answer
    x = 1,289.49

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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.