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Finding the Fourth Proportional to 9,870, 14,805 and 2,574

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Solution

The fourth proportional to 9,870, 14,805 and 2,574 is: 3,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870 : 14,805 = 2,574 : x
  2. Step 2: Convert to fraction form
    9,870/14,805 = 2,574/x
  3. Step 3: Cross multiply
    9,870x = 14,805 × 2,574
  4. Step 4: Simplify right side
    9,870x = 38,108,070
  5. Step 5: Solve for x
    x = 38,108,070/9,870
  6. Step 6: Final answer
    x = 3,861

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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.