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Finding the Fourth Proportional to 28,316, 42,474.36 and 9,848

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Solution

The fourth proportional to 28,316, 42,474.36 and 9,848 is: 14,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,316 : 42,474.36 = 9,848 : x
  2. Step 2: Convert to fraction form
    28,316/42,474.36 = 9,848/x
  3. Step 3: Cross multiply
    28,316x = 42,474.36 × 9,848
  4. Step 4: Simplify right side
    28,316x = 418,287,497.28
  5. Step 5: Solve for x
    x = 418,287,497.28/28,316
  6. Step 6: Final answer
    x = 14,772.13

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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.