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Finding the Fourth Proportional to 7,745, 10,686.39 and 4,387.52

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Solution

The fourth proportional to 7,745, 10,686.39 and 4,387.52 is: 6,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745 : 10,686.39 = 4,387.52 : x
  2. Step 2: Convert to fraction form
    7,745/10,686.39 = 4,387.52/x
  3. Step 3: Cross multiply
    7,745x = 10,686.39 × 4,387.52
  4. Step 4: Simplify right side
    7,745x = 46,886,749.85
  5. Step 5: Solve for x
    x = 46,886,749.85/7,745
  6. Step 6: Final answer
    x = 6,053.81

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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.