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Finding the Fourth Proportional to 1,985.17, 2,977.72 and 815.70

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Solution

The fourth proportional to 1,985.17, 2,977.72 and 815.70 is: 1,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.17 : 2,977.72 = 815.70 : x
  2. Step 2: Convert to fraction form
    1,985.17/2,977.72 = 815.70/x
  3. Step 3: Cross multiply
    1,985.17x = 2,977.72 × 815.70
  4. Step 4: Simplify right side
    1,985.17x = 2,428,926.20
  5. Step 5: Solve for x
    x = 2,428,926.20/1,985.17
  6. Step 6: Final answer
    x = 1,223.54

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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.