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Finding the Fourth Proportional to 1,780, 2,666.16 and 1,119.64

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Solution

The fourth proportional to 1,780, 2,666.16 and 1,119.64 is: 1,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780 : 2,666.16 = 1,119.64 : x
  2. Step 2: Convert to fraction form
    1,780/2,666.16 = 1,119.64/x
  3. Step 3: Cross multiply
    1,780x = 2,666.16 × 1,119.64
  4. Step 4: Simplify right side
    1,780x = 2,985,139.38
  5. Step 5: Solve for x
    x = 2,985,139.38/1,780
  6. Step 6: Final answer
    x = 1,677.04

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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.