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Finding the Fourth Proportional to 2,818.40, 4,227.59 and 870.14

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Solution

The fourth proportional to 2,818.40, 4,227.59 and 870.14 is: 1,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.40 : 4,227.59 = 870.14 : x
  2. Step 2: Convert to fraction form
    2,818.40/4,227.59 = 870.14/x
  3. Step 3: Cross multiply
    2,818.40x = 4,227.59 × 870.14
  4. Step 4: Simplify right side
    2,818.40x = 3,678,607.91
  5. Step 5: Solve for x
    x = 3,678,607.91/2,818.40
  6. Step 6: Final answer
    x = 1,305.21

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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.