Home / 8,428-12,641.48-2,584.16

Finding the Fourth Proportional to 8,428, 12,641.48 and 2,584.16

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Solution

The fourth proportional to 8,428, 12,641.48 and 2,584.16 is: 3,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428 : 12,641.48 = 2,584.16 : x
  2. Step 2: Convert to fraction form
    8,428/12,641.48 = 2,584.16/x
  3. Step 3: Cross multiply
    8,428x = 12,641.48 × 2,584.16
  4. Step 4: Simplify right side
    8,428x = 32,667,606.96
  5. Step 5: Solve for x
    x = 32,667,606.96/8,428
  6. Step 6: Final answer
    x = 3,876.08

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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.