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Finding the Fourth Proportional to 14,514.50, 20,030.02 and 7,890.50

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Solution

The fourth proportional to 14,514.50, 20,030.02 and 7,890.50 is: 10,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.50 : 20,030.02 = 7,890.50 : x
  2. Step 2: Convert to fraction form
    14,514.50/20,030.02 = 7,890.50/x
  3. Step 3: Cross multiply
    14,514.50x = 20,030.02 × 7,890.50
  4. Step 4: Simplify right side
    14,514.50x = 158,046,872.81
  5. Step 5: Solve for x
    x = 158,046,872.81/14,514.50
  6. Step 6: Final answer
    x = 10,888.90

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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.