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Finding the Fourth Proportional to 8,630.86, 11,918.06 and 8,188

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Solution

The fourth proportional to 8,630.86, 11,918.06 and 8,188 is: 11,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630.86 : 11,918.06 = 8,188 : x
  2. Step 2: Convert to fraction form
    8,630.86/11,918.06 = 8,188/x
  3. Step 3: Cross multiply
    8,630.86x = 11,918.06 × 8,188
  4. Step 4: Simplify right side
    8,630.86x = 97,585,075.28
  5. Step 5: Solve for x
    x = 97,585,075.28/8,630.86
  6. Step 6: Final answer
    x = 11,306.53

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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.