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Finding the Fourth Proportional to 10,153.44, 15,235.65 and 7,687.68

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Solution

The fourth proportional to 10,153.44, 15,235.65 and 7,687.68 is: 11,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.44 : 15,235.65 = 7,687.68 : x
  2. Step 2: Convert to fraction form
    10,153.44/15,235.65 = 7,687.68/x
  3. Step 3: Cross multiply
    10,153.44x = 15,235.65 × 7,687.68
  4. Step 4: Simplify right side
    10,153.44x = 117,126,801.79
  5. Step 5: Solve for x
    x = 117,126,801.79/10,153.44
  6. Step 6: Final answer
    x = 11,535.68

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1.5x scale

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.