Home / 1,274.12-1,911.14-349.74

Finding the Fourth Proportional to 1,274.12, 1,911.14 and 349.74

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Solution

The fourth proportional to 1,274.12, 1,911.14 and 349.74 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.12 : 1,911.14 = 349.74 : x
  2. Step 2: Convert to fraction form
    1,274.12/1,911.14 = 349.74/x
  3. Step 3: Cross multiply
    1,274.12x = 1,911.14 × 349.74
  4. Step 4: Simplify right side
    1,274.12x = 668,402.10
  5. Step 5: Solve for x
    x = 668,402.10/1,274.12
  6. Step 6: Final answer
    x = 524.60

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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.