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Finding the Fourth Proportional to 14,031.85, 19,364.07 and 7,658.49

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Solution

The fourth proportional to 14,031.85, 19,364.07 and 7,658.49 is: 10,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.85 : 19,364.07 = 7,658.49 : x
  2. Step 2: Convert to fraction form
    14,031.85/19,364.07 = 7,658.49/x
  3. Step 3: Cross multiply
    14,031.85x = 19,364.07 × 7,658.49
  4. Step 4: Simplify right side
    14,031.85x = 148,299,536.45
  5. Step 5: Solve for x
    x = 148,299,536.45/14,031.85
  6. Step 6: Final answer
    x = 10,568.78

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