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Finding the Fourth Proportional to 28,281, 42,421.50 and 7,504.68

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Solution

The fourth proportional to 28,281, 42,421.50 and 7,504.68 is: 11,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,281 : 42,421.50 = 7,504.68 : x
  2. Step 2: Convert to fraction form
    28,281/42,421.50 = 7,504.68/x
  3. Step 3: Cross multiply
    28,281x = 42,421.50 × 7,504.68
  4. Step 4: Simplify right side
    28,281x = 318,359,782.62
  5. Step 5: Solve for x
    x = 318,359,782.62/28,281
  6. Step 6: Final answer
    x = 11,257.02

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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.