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Finding the Fourth Proportional to 10,861.71, 14,968.65 and 8,705.80

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Solution

The fourth proportional to 10,861.71, 14,968.65 and 8,705.80 is: 11,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.71 : 14,968.65 = 8,705.80 : x
  2. Step 2: Convert to fraction form
    10,861.71/14,968.65 = 8,705.80/x
  3. Step 3: Cross multiply
    10,861.71x = 14,968.65 × 8,705.80
  4. Step 4: Simplify right side
    10,861.71x = 130,314,073.17
  5. Step 5: Solve for x
    x = 130,314,073.17/10,861.71
  6. Step 6: Final answer
    x = 11,997.57

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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.