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Finding the Fourth Proportional to 2,146.90, 3,220.90 and 607.90

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Solution

The fourth proportional to 2,146.90, 3,220.90 and 607.90 is: 912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.90 : 3,220.90 = 607.90 : x
  2. Step 2: Convert to fraction form
    2,146.90/3,220.90 = 607.90/x
  3. Step 3: Cross multiply
    2,146.90x = 3,220.90 × 607.90
  4. Step 4: Simplify right side
    2,146.90x = 1,957,985.11
  5. Step 5: Solve for x
    x = 1,957,985.11/2,146.90
  6. Step 6: Final answer
    x = 912.01

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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.