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Finding the Fourth Proportional to 2,292.50, 3,438.78 and 561.13

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Solution

The fourth proportional to 2,292.50, 3,438.78 and 561.13 is: 841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.50 : 3,438.78 = 561.13 : x
  2. Step 2: Convert to fraction form
    2,292.50/3,438.78 = 561.13/x
  3. Step 3: Cross multiply
    2,292.50x = 3,438.78 × 561.13
  4. Step 4: Simplify right side
    2,292.50x = 1,929,602.62
  5. Step 5: Solve for x
    x = 1,929,602.62/2,292.50
  6. Step 6: Final answer
    x = 841.70

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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.