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Finding the Fourth Proportional to 2,113.79, 3,170.61 and 652.94

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Solution

The fourth proportional to 2,113.79, 3,170.61 and 652.94 is: 979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.79 : 3,170.61 = 652.94 : x
  2. Step 2: Convert to fraction form
    2,113.79/3,170.61 = 652.94/x
  3. Step 3: Cross multiply
    2,113.79x = 3,170.61 × 652.94
  4. Step 4: Simplify right side
    2,113.79x = 2,070,226.02
  5. Step 5: Solve for x
    x = 2,070,226.02/2,113.79
  6. Step 6: Final answer
    x = 979.39

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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.