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Finding the Fourth Proportional to 2,292.52, 3,438.78 and 561.14

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Solution

The fourth proportional to 2,292.52, 3,438.78 and 561.14 is: 841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.52 : 3,438.78 = 561.14 : x
  2. Step 2: Convert to fraction form
    2,292.52/3,438.78 = 561.14/x
  3. Step 3: Cross multiply
    2,292.52x = 3,438.78 × 561.14
  4. Step 4: Simplify right side
    2,292.52x = 1,929,637.01
  5. Step 5: Solve for x
    x = 1,929,637.01/2,292.52
  6. Step 6: Final answer
    x = 841.71

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1.5x scale

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.