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Finding the Fourth Proportional to 9,893.48, 13,654.30 and 5,643.57

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Solution

The fourth proportional to 9,893.48, 13,654.30 and 5,643.57 is: 7,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.48 : 13,654.30 = 5,643.57 : x
  2. Step 2: Convert to fraction form
    9,893.48/13,654.30 = 5,643.57/x
  3. Step 3: Cross multiply
    9,893.48x = 13,654.30 × 5,643.57
  4. Step 4: Simplify right side
    9,893.48x = 77,058,997.85
  5. Step 5: Solve for x
    x = 77,058,997.85/9,893.48
  6. Step 6: Final answer
    x = 7,788.87

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1.5x scale

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.