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Finding the Fourth Proportional to 7,353.52, 10,148 and 4,209.72

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Solution

The fourth proportional to 7,353.52, 10,148 and 4,209.72 is: 5,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.52 : 10,148 = 4,209.72 : x
  2. Step 2: Convert to fraction form
    7,353.52/10,148 = 4,209.72/x
  3. Step 3: Cross multiply
    7,353.52x = 10,148 × 4,209.72
  4. Step 4: Simplify right side
    7,353.52x = 42,720,238.56
  5. Step 5: Solve for x
    x = 42,720,238.56/7,353.52
  6. Step 6: Final answer
    x = 5,809.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.