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Finding the Fourth Proportional to 5,256.80, 7,870.80 and 4,104.80

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Solution

The fourth proportional to 5,256.80, 7,870.80 and 4,104.80 is: 6,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.80 : 7,870.80 = 4,104.80 : x
  2. Step 2: Convert to fraction form
    5,256.80/7,870.80 = 4,104.80/x
  3. Step 3: Cross multiply
    5,256.80x = 7,870.80 × 4,104.80
  4. Step 4: Simplify right side
    5,256.80x = 32,308,059.84
  5. Step 5: Solve for x
    x = 32,308,059.84/5,256.80
  6. Step 6: Final answer
    x = 6,145.96

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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.