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Finding the Fourth Proportional to 2,892.18, 4,312.88 and 2,865.87

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Solution

The fourth proportional to 2,892.18, 4,312.88 and 2,865.87 is: 4,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.18 : 4,312.88 = 2,865.87 : x
  2. Step 2: Convert to fraction form
    2,892.18/4,312.88 = 2,865.87/x
  3. Step 3: Cross multiply
    2,892.18x = 4,312.88 × 2,865.87
  4. Step 4: Simplify right side
    2,892.18x = 12,360,137.71
  5. Step 5: Solve for x
    x = 12,360,137.71/2,892.18
  6. Step 6: Final answer
    x = 4,273.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.