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Finding the Fourth Proportional to 3,778.76, 5,666.24 and 1,312.92

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Solution

The fourth proportional to 3,778.76, 5,666.24 and 1,312.92 is: 1,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.76 : 5,666.24 = 1,312.92 : x
  2. Step 2: Convert to fraction form
    3,778.76/5,666.24 = 1,312.92/x
  3. Step 3: Cross multiply
    3,778.76x = 5,666.24 × 1,312.92
  4. Step 4: Simplify right side
    3,778.76x = 7,439,313.26
  5. Step 5: Solve for x
    x = 7,439,313.26/3,778.76
  6. Step 6: Final answer
    x = 1,968.72

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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.