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Finding the Fourth Proportional to 2,088.87, 3,130.94 and 854.70

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Solution

The fourth proportional to 2,088.87, 3,130.94 and 854.70 is: 1,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.87 : 3,130.94 = 854.70 : x
  2. Step 2: Convert to fraction form
    2,088.87/3,130.94 = 854.70/x
  3. Step 3: Cross multiply
    2,088.87x = 3,130.94 × 854.70
  4. Step 4: Simplify right side
    2,088.87x = 2,676,010.14
  5. Step 5: Solve for x
    x = 2,676,010.14/2,088.87
  6. Step 6: Final answer
    x = 1,281.08

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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.