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Finding the Fourth Proportional to 28,306, 42,459 and 9,838

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Solution

The fourth proportional to 28,306, 42,459 and 9,838 is: 14,757

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,306 : 42,459 = 9,838 : x
  2. Step 2: Convert to fraction form
    28,306/42,459 = 9,838/x
  3. Step 3: Cross multiply
    28,306x = 42,459 × 9,838
  4. Step 4: Simplify right side
    28,306x = 417,711,642
  5. Step 5: Solve for x
    x = 417,711,642/28,306
  6. Step 6: Final answer
    x = 14,757

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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.