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Finding the Fourth Proportional to 9,641, 13,305.40 and 6,106.98

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Solution

The fourth proportional to 9,641, 13,305.40 and 6,106.98 is: 8,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641 : 13,305.40 = 6,106.98 : x
  2. Step 2: Convert to fraction form
    9,641/13,305.40 = 6,106.98/x
  3. Step 3: Cross multiply
    9,641x = 13,305.40 × 6,106.98
  4. Step 4: Simplify right side
    9,641x = 81,255,811.69
  5. Step 5: Solve for x
    x = 81,255,811.69/9,641
  6. Step 6: Final answer
    x = 8,428.15

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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.