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Finding the Fourth Proportional to 3,122.10, 4,681.68 and 930.06

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Solution

The fourth proportional to 3,122.10, 4,681.68 and 930.06 is: 1,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.10 : 4,681.68 = 930.06 : x
  2. Step 2: Convert to fraction form
    3,122.10/4,681.68 = 930.06/x
  3. Step 3: Cross multiply
    3,122.10x = 4,681.68 × 930.06
  4. Step 4: Simplify right side
    3,122.10x = 4,354,243.30
  5. Step 5: Solve for x
    x = 4,354,243.30/3,122.10
  6. Step 6: Final answer
    x = 1,394.65

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1.5x scale

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.