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Finding the Fourth Proportional to 9,643, 13,305.99 and 5,393.84

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Solution

The fourth proportional to 9,643, 13,305.99 and 5,393.84 is: 7,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643 : 13,305.99 = 5,393.84 : x
  2. Step 2: Convert to fraction form
    9,643/13,305.99 = 5,393.84/x
  3. Step 3: Cross multiply
    9,643x = 13,305.99 × 5,393.84
  4. Step 4: Simplify right side
    9,643x = 71,770,381.10
  5. Step 5: Solve for x
    x = 71,770,381.10/9,643
  6. Step 6: Final answer
    x = 7,442.74

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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.