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Finding the Fourth Proportional to 3,968.80, 5,477.76 and 2,397.76

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Solution

The fourth proportional to 3,968.80, 5,477.76 and 2,397.76 is: 3,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.80 : 5,477.76 = 2,397.76 : x
  2. Step 2: Convert to fraction form
    3,968.80/5,477.76 = 2,397.76/x
  3. Step 3: Cross multiply
    3,968.80x = 5,477.76 × 2,397.76
  4. Step 4: Simplify right side
    3,968.80x = 13,134,353.82
  5. Step 5: Solve for x
    x = 13,134,353.82/3,968.80
  6. Step 6: Final answer
    x = 3,309.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.