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Finding the Fourth Proportional to 9,106, 13,657.78 and 3,555.48

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Solution

The fourth proportional to 9,106, 13,657.78 and 3,555.48 is: 5,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106 : 13,657.78 = 3,555.48 : x
  2. Step 2: Convert to fraction form
    9,106/13,657.78 = 3,555.48/x
  3. Step 3: Cross multiply
    9,106x = 13,657.78 × 3,555.48
  4. Step 4: Simplify right side
    9,106x = 48,559,963.63
  5. Step 5: Solve for x
    x = 48,559,963.63/9,106
  6. Step 6: Final answer
    x = 5,332.74

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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.