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Finding the Fourth Proportional to 10,047.20, 15,055.52 and 7,958.48

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Solution

The fourth proportional to 10,047.20, 15,055.52 and 7,958.48 is: 11,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.20 : 15,055.52 = 7,958.48 : x
  2. Step 2: Convert to fraction form
    10,047.20/15,055.52 = 7,958.48/x
  3. Step 3: Cross multiply
    10,047.20x = 15,055.52 × 7,958.48
  4. Step 4: Simplify right side
    10,047.20x = 119,819,054.81
  5. Step 5: Solve for x
    x = 119,819,054.81/10,047.20
  6. Step 6: Final answer
    x = 11,925.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.