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Finding the Fourth Proportional to 1,913.78, 2,870.80 and 818.14

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Solution

The fourth proportional to 1,913.78, 2,870.80 and 818.14 is: 1,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.78 : 2,870.80 = 818.14 : x
  2. Step 2: Convert to fraction form
    1,913.78/2,870.80 = 818.14/x
  3. Step 3: Cross multiply
    1,913.78x = 2,870.80 × 818.14
  4. Step 4: Simplify right side
    1,913.78x = 2,348,716.31
  5. Step 5: Solve for x
    x = 2,348,716.31/1,913.78
  6. Step 6: Final answer
    x = 1,227.27

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1.5x scale

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.