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Finding the Fourth Proportional to 28,315, 42,469.10 and 9,595

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Solution

The fourth proportional to 28,315, 42,469.10 and 9,595 is: 14,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,315 : 42,469.10 = 9,595 : x
  2. Step 2: Convert to fraction form
    28,315/42,469.10 = 9,595/x
  3. Step 3: Cross multiply
    28,315x = 42,469.10 × 9,595
  4. Step 4: Simplify right side
    28,315x = 407,491,014.50
  5. Step 5: Solve for x
    x = 407,491,014.50/28,315
  6. Step 6: Final answer
    x = 14,391.35

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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.