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Finding the Fourth Proportional to 9,106, 13,655.95 and 3,557.90

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Solution

The fourth proportional to 9,106, 13,655.95 and 3,557.90 is: 5,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106 : 13,655.95 = 3,557.90 : x
  2. Step 2: Convert to fraction form
    9,106/13,655.95 = 3,557.90/x
  3. Step 3: Cross multiply
    9,106x = 13,655.95 × 3,557.90
  4. Step 4: Simplify right side
    9,106x = 48,586,504.51
  5. Step 5: Solve for x
    x = 48,586,504.51/9,106
  6. Step 6: Final answer
    x = 5,335.66

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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.