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Finding the Fourth Proportional to 8,977.72, 13,462.26 and 3,780.76

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Solution

The fourth proportional to 8,977.72, 13,462.26 and 3,780.76 is: 5,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.72 : 13,462.26 = 3,780.76 : x
  2. Step 2: Convert to fraction form
    8,977.72/13,462.26 = 3,780.76/x
  3. Step 3: Cross multiply
    8,977.72x = 13,462.26 × 3,780.76
  4. Step 4: Simplify right side
    8,977.72x = 50,897,574.12
  5. Step 5: Solve for x
    x = 50,897,574.12/8,977.72
  6. Step 6: Final answer
    x = 5,669.32

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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.