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Finding the Fourth Proportional to 8,438.05, 11,642.52 and 4,899.16

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Solution

The fourth proportional to 8,438.05, 11,642.52 and 4,899.16 is: 6,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.05 : 11,642.52 = 4,899.16 : x
  2. Step 2: Convert to fraction form
    8,438.05/11,642.52 = 4,899.16/x
  3. Step 3: Cross multiply
    8,438.05x = 11,642.52 × 4,899.16
  4. Step 4: Simplify right side
    8,438.05x = 57,038,568.28
  5. Step 5: Solve for x
    x = 57,038,568.28/8,438.05
  6. Step 6: Final answer
    x = 6,759.69

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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.