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Finding the Fourth Proportional to 28,380, 42,570.18 and 9,912

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Solution

The fourth proportional to 28,380, 42,570.18 and 9,912 is: 14,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,380 : 42,570.18 = 9,912 : x
  2. Step 2: Convert to fraction form
    28,380/42,570.18 = 9,912/x
  3. Step 3: Cross multiply
    28,380x = 42,570.18 × 9,912
  4. Step 4: Simplify right side
    28,380x = 421,955,624.16
  5. Step 5: Solve for x
    x = 421,955,624.16/28,380
  6. Step 6: Final answer
    x = 14,868.06

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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.