Home / 1,521.84-2,281.10-1,002.20

Finding the Fourth Proportional to 1,521.84, 2,281.10 and 1,002.20

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Solution

The fourth proportional to 1,521.84, 2,281.10 and 1,002.20 is: 1,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.84 : 2,281.10 = 1,002.20 : x
  2. Step 2: Convert to fraction form
    1,521.84/2,281.10 = 1,002.20/x
  3. Step 3: Cross multiply
    1,521.84x = 2,281.10 × 1,002.20
  4. Step 4: Simplify right side
    1,521.84x = 2,286,102.00
  5. Step 5: Solve for x
    x = 2,286,102.00/1,521.84
  6. Step 6: Final answer
    x = 1,502.20

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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.