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Finding the Fourth Proportional to 2,047.25, 3,070.87 and 586.40

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Solution

The fourth proportional to 2,047.25, 3,070.87 and 586.40 is: 879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.25 : 3,070.87 = 586.40 : x
  2. Step 2: Convert to fraction form
    2,047.25/3,070.87 = 586.40/x
  3. Step 3: Cross multiply
    2,047.25x = 3,070.87 × 586.40
  4. Step 4: Simplify right side
    2,047.25x = 1,800,764.38
  5. Step 5: Solve for x
    x = 1,800,764.38/2,047.25
  6. Step 6: Final answer
    x = 879.60

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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.