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Finding the Fourth Proportional to 8,315.90, 11,661.70 and 8,315.90

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Solution

The fourth proportional to 8,315.90, 11,661.70 and 8,315.90 is: 11,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.90 : 11,661.70 = 8,315.90 : x
  2. Step 2: Convert to fraction form
    8,315.90/11,661.70 = 8,315.90/x
  3. Step 3: Cross multiply
    8,315.90x = 11,661.70 × 8,315.90
  4. Step 4: Simplify right side
    8,315.90x = 96,977,531.03
  5. Step 5: Solve for x
    x = 96,977,531.03/8,315.90
  6. Step 6: Final answer
    x = 11,661.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.