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Finding the Fourth Proportional to 3,765.49, 5,649.14 and 1,916.66

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Solution

The fourth proportional to 3,765.49, 5,649.14 and 1,916.66 is: 2,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.49 : 5,649.14 = 1,916.66 : x
  2. Step 2: Convert to fraction form
    3,765.49/5,649.14 = 1,916.66/x
  3. Step 3: Cross multiply
    3,765.49x = 5,649.14 × 1,916.66
  4. Step 4: Simplify right side
    3,765.49x = 10,827,499.59
  5. Step 5: Solve for x
    x = 10,827,499.59/3,765.49
  6. Step 6: Final answer
    x = 2,875.46

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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.