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Finding the Fourth Proportional to 28,337.25, 42,506.78 and 8,615.98

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Solution

The fourth proportional to 28,337.25, 42,506.78 and 8,615.98 is: 12,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,337.25 : 42,506.78 = 8,615.98 : x
  2. Step 2: Convert to fraction form
    28,337.25/42,506.78 = 8,615.98/x
  3. Step 3: Cross multiply
    28,337.25x = 42,506.78 × 8,615.98
  4. Step 4: Simplify right side
    28,337.25x = 366,237,417.00
  5. Step 5: Solve for x
    x = 366,237,417.00/28,337.25
  6. Step 6: Final answer
    x = 12,924.24

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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.