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Finding the Fourth Proportional to 6,902.18, 10,350.15 and 1,970.65

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Solution

The fourth proportional to 6,902.18, 10,350.15 and 1,970.65 is: 2,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.18 : 10,350.15 = 1,970.65 : x
  2. Step 2: Convert to fraction form
    6,902.18/10,350.15 = 1,970.65/x
  3. Step 3: Cross multiply
    6,902.18x = 10,350.15 × 1,970.65
  4. Step 4: Simplify right side
    6,902.18x = 20,396,523.10
  5. Step 5: Solve for x
    x = 20,396,523.10/6,902.18
  6. Step 6: Final answer
    x = 2,955.08

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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.