Home / 1,354.23-2,031.75-917.24

Finding the Fourth Proportional to 1,354.23, 2,031.75 and 917.24

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Solution

The fourth proportional to 1,354.23, 2,031.75 and 917.24 is: 1,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.23 : 2,031.75 = 917.24 : x
  2. Step 2: Convert to fraction form
    1,354.23/2,031.75 = 917.24/x
  3. Step 3: Cross multiply
    1,354.23x = 2,031.75 × 917.24
  4. Step 4: Simplify right side
    1,354.23x = 1,863,592.21
  5. Step 5: Solve for x
    x = 1,863,592.21/1,354.23
  6. Step 6: Final answer
    x = 1,376.13

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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.