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Finding the Fourth Proportional to 7,238.61, 9,989.67 and 4,051.71

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Solution

The fourth proportional to 7,238.61, 9,989.67 and 4,051.71 is: 5,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.61 : 9,989.67 = 4,051.71 : x
  2. Step 2: Convert to fraction form
    7,238.61/9,989.67 = 4,051.71/x
  3. Step 3: Cross multiply
    7,238.61x = 9,989.67 × 4,051.71
  4. Step 4: Simplify right side
    7,238.61x = 40,475,245.84
  5. Step 5: Solve for x
    x = 40,475,245.84/7,238.61
  6. Step 6: Final answer
    x = 5,591.58

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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.