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Finding the Fourth Proportional to 5,641.50, 7,784.19 and 3,651.78

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Solution

The fourth proportional to 5,641.50, 7,784.19 and 3,651.78 is: 5,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.50 : 7,784.19 = 3,651.78 : x
  2. Step 2: Convert to fraction form
    5,641.50/7,784.19 = 3,651.78/x
  3. Step 3: Cross multiply
    5,641.50x = 7,784.19 × 3,651.78
  4. Step 4: Simplify right side
    5,641.50x = 28,426,149.36
  5. Step 5: Solve for x
    x = 28,426,149.36/5,641.50
  6. Step 6: Final answer
    x = 5,038.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.