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Finding the Fourth Proportional to 7,177.51, 9,899.46 and 5,194.63

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Solution

The fourth proportional to 7,177.51, 9,899.46 and 5,194.63 is: 7,164.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.51 : 9,899.46 = 5,194.63 : x
  2. Step 2: Convert to fraction form
    7,177.51/9,899.46 = 5,194.63/x
  3. Step 3: Cross multiply
    7,177.51x = 9,899.46 × 5,194.63
  4. Step 4: Simplify right side
    7,177.51x = 51,424,031.90
  5. Step 5: Solve for x
    x = 51,424,031.90/7,177.51
  6. Step 6: Final answer
    x = 7,164.61

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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.