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Finding the Fourth Proportional to 9,870, 13,620.60 and 6,144

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Solution

The fourth proportional to 9,870, 13,620.60 and 6,144 is: 8,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870 : 13,620.60 = 6,144 : x
  2. Step 2: Convert to fraction form
    9,870/13,620.60 = 6,144/x
  3. Step 3: Cross multiply
    9,870x = 13,620.60 × 6,144
  4. Step 4: Simplify right side
    9,870x = 83,684,966.40
  5. Step 5: Solve for x
    x = 83,684,966.40/9,870
  6. Step 6: Final answer
    x = 8,478.72

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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.