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Finding the Fourth Proportional to 5,248.64, 7,870.49 and 1,960.85

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Solution

The fourth proportional to 5,248.64, 7,870.49 and 1,960.85 is: 2,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.64 : 7,870.49 = 1,960.85 : x
  2. Step 2: Convert to fraction form
    5,248.64/7,870.49 = 1,960.85/x
  3. Step 3: Cross multiply
    5,248.64x = 7,870.49 × 1,960.85
  4. Step 4: Simplify right side
    5,248.64x = 15,432,801.16
  5. Step 5: Solve for x
    x = 15,432,801.16/5,248.64
  6. Step 6: Final answer
    x = 2,940.35

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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.