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Finding the Fourth Proportional to 10,448, 15,675.50 and 6,951.79

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Solution

The fourth proportional to 10,448, 15,675.50 and 6,951.79 is: 10,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448 : 15,675.50 = 6,951.79 : x
  2. Step 2: Convert to fraction form
    10,448/15,675.50 = 6,951.79/x
  3. Step 3: Cross multiply
    10,448x = 15,675.50 × 6,951.79
  4. Step 4: Simplify right side
    10,448x = 108,972,784.15
  5. Step 5: Solve for x
    x = 108,972,784.15/10,448
  6. Step 6: Final answer
    x = 10,430.01

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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.