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Finding the Fourth Proportional to 15,417, 23,125.50 and 7,209

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Solution

The fourth proportional to 15,417, 23,125.50 and 7,209 is: 10,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,417 : 23,125.50 = 7,209 : x
  2. Step 2: Convert to fraction form
    15,417/23,125.50 = 7,209/x
  3. Step 3: Cross multiply
    15,417x = 23,125.50 × 7,209
  4. Step 4: Simplify right side
    15,417x = 166,711,729.50
  5. Step 5: Solve for x
    x = 166,711,729.50/15,417
  6. Step 6: Final answer
    x = 10,813.50

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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.