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Finding the Fourth Proportional to 9,813.77, 13,548.01 and 6,643.82

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Solution

The fourth proportional to 9,813.77, 13,548.01 and 6,643.82 is: 9,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.77 : 13,548.01 = 6,643.82 : x
  2. Step 2: Convert to fraction form
    9,813.77/13,548.01 = 6,643.82/x
  3. Step 3: Cross multiply
    9,813.77x = 13,548.01 × 6,643.82
  4. Step 4: Simplify right side
    9,813.77x = 90,010,472.06
  5. Step 5: Solve for x
    x = 90,010,472.06/9,813.77
  6. Step 6: Final answer
    x = 9,171.85

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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.