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Finding the Fourth Proportional to 7,769.36, 10,725 and 7,362.20

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Solution

The fourth proportional to 7,769.36, 10,725 and 7,362.20 is: 10,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.36 : 10,725 = 7,362.20 : x
  2. Step 2: Convert to fraction form
    7,769.36/10,725 = 7,362.20/x
  3. Step 3: Cross multiply
    7,769.36x = 10,725 × 7,362.20
  4. Step 4: Simplify right side
    7,769.36x = 78,959,595
  5. Step 5: Solve for x
    x = 78,959,595/7,769.36
  6. Step 6: Final answer
    x = 10,162.95

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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.