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Finding the Fourth Proportional to 15,907.76, 21,951.72 and 9,192.30

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Solution

The fourth proportional to 15,907.76, 21,951.72 and 9,192.30 is: 12,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.76 : 21,951.72 = 9,192.30 : x
  2. Step 2: Convert to fraction form
    15,907.76/21,951.72 = 9,192.30/x
  3. Step 3: Cross multiply
    15,907.76x = 21,951.72 × 9,192.30
  4. Step 4: Simplify right side
    15,907.76x = 201,786,795.76
  5. Step 5: Solve for x
    x = 201,786,795.76/15,907.76
  6. Step 6: Final answer
    x = 12,684.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.