Home / 1,422.12-2,130.40-803.95

Finding the Fourth Proportional to 1,422.12, 2,130.40 and 803.95

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Solution

The fourth proportional to 1,422.12, 2,130.40 and 803.95 is: 1,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.12 : 2,130.40 = 803.95 : x
  2. Step 2: Convert to fraction form
    1,422.12/2,130.40 = 803.95/x
  3. Step 3: Cross multiply
    1,422.12x = 2,130.40 × 803.95
  4. Step 4: Simplify right side
    1,422.12x = 1,712,735.08
  5. Step 5: Solve for x
    x = 1,712,735.08/1,422.12
  6. Step 6: Final answer
    x = 1,204.35

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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.