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Finding the Fourth Proportional to 9,412.80, 14,135.40 and 5,038.80

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Solution

The fourth proportional to 9,412.80, 14,135.40 and 5,038.80 is: 7,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.80 : 14,135.40 = 5,038.80 : x
  2. Step 2: Convert to fraction form
    9,412.80/14,135.40 = 5,038.80/x
  3. Step 3: Cross multiply
    9,412.80x = 14,135.40 × 5,038.80
  4. Step 4: Simplify right side
    9,412.80x = 71,225,453.52
  5. Step 5: Solve for x
    x = 71,225,453.52/9,412.80
  6. Step 6: Final answer
    x = 7,566.87

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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.