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Finding the Fourth Proportional to 5,216.59, 7,820.78 and 2,585

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Solution

The fourth proportional to 5,216.59, 7,820.78 and 2,585 is: 3,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.59 : 7,820.78 = 2,585 : x
  2. Step 2: Convert to fraction form
    5,216.59/7,820.78 = 2,585/x
  3. Step 3: Cross multiply
    5,216.59x = 7,820.78 × 2,585
  4. Step 4: Simplify right side
    5,216.59x = 20,216,716.30
  5. Step 5: Solve for x
    x = 20,216,716.30/5,216.59
  6. Step 6: Final answer
    x = 3,875.47

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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.