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Finding the Fourth Proportional to 1,714.79, 2,570.81 and 1,618.20

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Solution

The fourth proportional to 1,714.79, 2,570.81 and 1,618.20 is: 2,426.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.79 : 2,570.81 = 1,618.20 : x
  2. Step 2: Convert to fraction form
    1,714.79/2,570.81 = 1,618.20/x
  3. Step 3: Cross multiply
    1,714.79x = 2,570.81 × 1,618.20
  4. Step 4: Simplify right side
    1,714.79x = 4,160,084.74
  5. Step 5: Solve for x
    x = 4,160,084.74/1,714.79
  6. Step 6: Final answer
    x = 2,426.00

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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.