Home / 1,421.10-1,961.14-800.10

Finding the Fourth Proportional to 1,421.10, 1,961.14 and 800.10

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Solution

The fourth proportional to 1,421.10, 1,961.14 and 800.10 is: 1,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.10 : 1,961.14 = 800.10 : x
  2. Step 2: Convert to fraction form
    1,421.10/1,961.14 = 800.10/x
  3. Step 3: Cross multiply
    1,421.10x = 1,961.14 × 800.10
  4. Step 4: Simplify right side
    1,421.10x = 1,569,108.11
  5. Step 5: Solve for x
    x = 1,569,108.11/1,421.10
  6. Step 6: Final answer
    x = 1,104.15

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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.