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Finding the Fourth Proportional to 8,523.74, 12,785.69 and 2,977.08

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Solution

The fourth proportional to 8,523.74, 12,785.69 and 2,977.08 is: 4,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.74 : 12,785.69 = 2,977.08 : x
  2. Step 2: Convert to fraction form
    8,523.74/12,785.69 = 2,977.08/x
  3. Step 3: Cross multiply
    8,523.74x = 12,785.69 × 2,977.08
  4. Step 4: Simplify right side
    8,523.74x = 38,064,007.10
  5. Step 5: Solve for x
    x = 38,064,007.10/8,523.74
  6. Step 6: Final answer
    x = 4,465.65

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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.