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Finding the Fourth Proportional to 8,689.30, 13,009.65 and 8,689.30

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Solution

The fourth proportional to 8,689.30, 13,009.65 and 8,689.30 is: 13,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.30 : 13,009.65 = 8,689.30 : x
  2. Step 2: Convert to fraction form
    8,689.30/13,009.65 = 8,689.30/x
  3. Step 3: Cross multiply
    8,689.30x = 13,009.65 × 8,689.30
  4. Step 4: Simplify right side
    8,689.30x = 113,044,751.75
  5. Step 5: Solve for x
    x = 113,044,751.75/8,689.30
  6. Step 6: Final answer
    x = 13,009.65

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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.