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Finding the Fourth Proportional to 10,720.56, 14,799.44 and 7,186.08

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Solution

The fourth proportional to 10,720.56, 14,799.44 and 7,186.08 is: 9,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.56 : 14,799.44 = 7,186.08 : x
  2. Step 2: Convert to fraction form
    10,720.56/14,799.44 = 7,186.08/x
  3. Step 3: Cross multiply
    10,720.56x = 14,799.44 × 7,186.08
  4. Step 4: Simplify right side
    10,720.56x = 106,349,959.80
  5. Step 5: Solve for x
    x = 106,349,959.80/10,720.56
  6. Step 6: Final answer
    x = 9,920.19

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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.