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Finding the Fourth Proportional to 2,774.40, 4,156.80 and 1,478.40

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Solution

The fourth proportional to 2,774.40, 4,156.80 and 1,478.40 is: 2,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.40 : 4,156.80 = 1,478.40 : x
  2. Step 2: Convert to fraction form
    2,774.40/4,156.80 = 1,478.40/x
  3. Step 3: Cross multiply
    2,774.40x = 4,156.80 × 1,478.40
  4. Step 4: Simplify right side
    2,774.40x = 6,145,413.12
  5. Step 5: Solve for x
    x = 6,145,413.12/2,774.40
  6. Step 6: Final answer
    x = 2,215.04

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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.