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Finding the Fourth Proportional to 13,937.50, 19,233.98 and 7,649.88

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Solution

The fourth proportional to 13,937.50, 19,233.98 and 7,649.88 is: 10,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.50 : 19,233.98 = 7,649.88 : x
  2. Step 2: Convert to fraction form
    13,937.50/19,233.98 = 7,649.88/x
  3. Step 3: Cross multiply
    13,937.50x = 19,233.98 × 7,649.88
  4. Step 4: Simplify right side
    13,937.50x = 147,137,638.92
  5. Step 5: Solve for x
    x = 147,137,638.92/13,937.50
  6. Step 6: Final answer
    x = 10,556.96

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1.5x scale

Why These Related Problems?

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