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Finding the Fourth Proportional to 10,379.70, 15,638.90 and 9,393.84

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Solution

The fourth proportional to 10,379.70, 15,638.90 and 9,393.84 is: 14,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.70 : 15,638.90 = 9,393.84 : x
  2. Step 2: Convert to fraction form
    10,379.70/15,638.90 = 9,393.84/x
  3. Step 3: Cross multiply
    10,379.70x = 15,638.90 × 9,393.84
  4. Step 4: Simplify right side
    10,379.70x = 146,909,277.41
  5. Step 5: Solve for x
    x = 146,909,277.41/10,379.70
  6. Step 6: Final answer
    x = 14,153.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.