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Finding the Fourth Proportional to 8,126.63, 12,189.95 and 1,970.63

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Solution

The fourth proportional to 8,126.63, 12,189.95 and 1,970.63 is: 2,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.63 : 12,189.95 = 1,970.63 : x
  2. Step 2: Convert to fraction form
    8,126.63/12,189.95 = 1,970.63/x
  3. Step 3: Cross multiply
    8,126.63x = 12,189.95 × 1,970.63
  4. Step 4: Simplify right side
    8,126.63x = 24,021,881.17
  5. Step 5: Solve for x
    x = 24,021,881.17/8,126.63
  6. Step 6: Final answer
    x = 2,955.95

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Similar ratio
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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.