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Finding the Fourth Proportional to 12,861.01, 17,750.10 and 7,824.26

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Solution

The fourth proportional to 12,861.01, 17,750.10 and 7,824.26 is: 10,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.01 : 17,750.10 = 7,824.26 : x
  2. Step 2: Convert to fraction form
    12,861.01/17,750.10 = 7,824.26/x
  3. Step 3: Cross multiply
    12,861.01x = 17,750.10 × 7,824.26
  4. Step 4: Simplify right side
    12,861.01x = 138,881,471.14
  5. Step 5: Solve for x
    x = 138,881,471.14/12,861.01
  6. Step 6: Final answer
    x = 10,798.64

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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.