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Finding the Fourth Proportional to 12,506.61, 18,750.64 and 7,575.15

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Solution

The fourth proportional to 12,506.61, 18,750.64 and 7,575.15 is: 11,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.61 : 18,750.64 = 7,575.15 : x
  2. Step 2: Convert to fraction form
    12,506.61/18,750.64 = 7,575.15/x
  3. Step 3: Cross multiply
    12,506.61x = 18,750.64 × 7,575.15
  4. Step 4: Simplify right side
    12,506.61x = 142,038,910.60
  5. Step 5: Solve for x
    x = 142,038,910.60/12,506.61
  6. Step 6: Final answer
    x = 11,357.11

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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.