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Finding the Fourth Proportional to 9,869, 14,810.78 and 4,674.88

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Solution

The fourth proportional to 9,869, 14,810.78 and 4,674.88 is: 7,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869 : 14,810.78 = 4,674.88 : x
  2. Step 2: Convert to fraction form
    9,869/14,810.78 = 4,674.88/x
  3. Step 3: Cross multiply
    9,869x = 14,810.78 × 4,674.88
  4. Step 4: Simplify right side
    9,869x = 69,238,619.21
  5. Step 5: Solve for x
    x = 69,238,619.21/9,869
  6. Step 6: Final answer
    x = 7,015.77

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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.