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Finding the Fourth Proportional to 1,689.67, 2,530.59 and 1,482.10

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Solution

The fourth proportional to 1,689.67, 2,530.59 and 1,482.10 is: 2,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.67 : 2,530.59 = 1,482.10 : x
  2. Step 2: Convert to fraction form
    1,689.67/2,530.59 = 1,482.10/x
  3. Step 3: Cross multiply
    1,689.67x = 2,530.59 × 1,482.10
  4. Step 4: Simplify right side
    1,689.67x = 3,750,587.44
  5. Step 5: Solve for x
    x = 3,750,587.44/1,689.67
  6. Step 6: Final answer
    x = 2,219.72

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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.