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Finding the Fourth Proportional to 7,073, 10,609.50 and 1,878.92

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Solution

The fourth proportional to 7,073, 10,609.50 and 1,878.92 is: 2,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073 : 10,609.50 = 1,878.92 : x
  2. Step 2: Convert to fraction form
    7,073/10,609.50 = 1,878.92/x
  3. Step 3: Cross multiply
    7,073x = 10,609.50 × 1,878.92
  4. Step 4: Simplify right side
    7,073x = 19,934,401.74
  5. Step 5: Solve for x
    x = 19,934,401.74/7,073
  6. Step 6: Final answer
    x = 2,818.38

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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.