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Finding the Fourth Proportional to 1,825.61, 2,737.15 and 785.30

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Solution

The fourth proportional to 1,825.61, 2,737.15 and 785.30 is: 1,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.61 : 2,737.15 = 785.30 : x
  2. Step 2: Convert to fraction form
    1,825.61/2,737.15 = 785.30/x
  3. Step 3: Cross multiply
    1,825.61x = 2,737.15 × 785.30
  4. Step 4: Simplify right side
    1,825.61x = 2,149,478.51
  5. Step 5: Solve for x
    x = 2,149,478.51/1,825.61
  6. Step 6: Final answer
    x = 1,177.40

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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.