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Finding the Fourth Proportional to 2,113.79, 3,170.36 and 652.74

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Solution

The fourth proportional to 2,113.79, 3,170.36 and 652.74 is: 979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.79 : 3,170.36 = 652.74 : x
  2. Step 2: Convert to fraction form
    2,113.79/3,170.36 = 652.74/x
  3. Step 3: Cross multiply
    2,113.79x = 3,170.36 × 652.74
  4. Step 4: Simplify right side
    2,113.79x = 2,069,417.52
  5. Step 5: Solve for x
    x = 2,069,417.52/2,113.79
  6. Step 6: Final answer
    x = 979.01

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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.