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Finding the Fourth Proportional to 8,667.64, 13,000.02 and 2,428.30

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Solution

The fourth proportional to 8,667.64, 13,000.02 and 2,428.30 is: 3,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.64 : 13,000.02 = 2,428.30 : x
  2. Step 2: Convert to fraction form
    8,667.64/13,000.02 = 2,428.30/x
  3. Step 3: Cross multiply
    8,667.64x = 13,000.02 × 2,428.30
  4. Step 4: Simplify right side
    8,667.64x = 31,567,948.57
  5. Step 5: Solve for x
    x = 31,567,948.57/8,667.64
  6. Step 6: Final answer
    x = 3,642.05

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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.