Home / 5,201.80-7,802.64-1,306.24

Finding the Fourth Proportional to 5,201.80, 7,802.64 and 1,306.24

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Solution

The fourth proportional to 5,201.80, 7,802.64 and 1,306.24 is: 1,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.80 : 7,802.64 = 1,306.24 : x
  2. Step 2: Convert to fraction form
    5,201.80/7,802.64 = 1,306.24/x
  3. Step 3: Cross multiply
    5,201.80x = 7,802.64 × 1,306.24
  4. Step 4: Simplify right side
    5,201.80x = 10,192,120.47
  5. Step 5: Solve for x
    x = 10,192,120.47/5,201.80
  6. Step 6: Final answer
    x = 1,959.34

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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.