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Finding the Fourth Proportional to 2,874.78, 4,312.17 and 1,782.30

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Solution

The fourth proportional to 2,874.78, 4,312.17 and 1,782.30 is: 2,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.78 : 4,312.17 = 1,782.30 : x
  2. Step 2: Convert to fraction form
    2,874.78/4,312.17 = 1,782.30/x
  3. Step 3: Cross multiply
    2,874.78x = 4,312.17 × 1,782.30
  4. Step 4: Simplify right side
    2,874.78x = 7,685,580.59
  5. Step 5: Solve for x
    x = 7,685,580.59/2,874.78
  6. Step 6: Final answer
    x = 2,673.45

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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.