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Finding the Fourth Proportional to 7,289.68, 10,060.86 and 5,309.24

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Solution

The fourth proportional to 7,289.68, 10,060.86 and 5,309.24 is: 7,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.68 : 10,060.86 = 5,309.24 : x
  2. Step 2: Convert to fraction form
    7,289.68/10,060.86 = 5,309.24/x
  3. Step 3: Cross multiply
    7,289.68x = 10,060.86 × 5,309.24
  4. Step 4: Simplify right side
    7,289.68x = 53,415,520.35
  5. Step 5: Solve for x
    x = 53,415,520.35/7,289.68
  6. Step 6: Final answer
    x = 7,327.55

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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.