Home / 1,401.80-2,098.54-1,038.20

Finding the Fourth Proportional to 1,401.80, 2,098.54 and 1,038.20

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Solution

The fourth proportional to 1,401.80, 2,098.54 and 1,038.20 is: 1,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.80 : 2,098.54 = 1,038.20 : x
  2. Step 2: Convert to fraction form
    1,401.80/2,098.54 = 1,038.20/x
  3. Step 3: Cross multiply
    1,401.80x = 2,098.54 × 1,038.20
  4. Step 4: Simplify right side
    1,401.80x = 2,178,704.23
  5. Step 5: Solve for x
    x = 2,178,704.23/1,401.80
  6. Step 6: Final answer
    x = 1,554.22

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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.