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Finding the Fourth Proportional to 20,907.56, 31,364.16 and 6,117.56

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Solution

The fourth proportional to 20,907.56, 31,364.16 and 6,117.56 is: 9,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.56 : 31,364.16 = 6,117.56 : x
  2. Step 2: Convert to fraction form
    20,907.56/31,364.16 = 6,117.56/x
  3. Step 3: Cross multiply
    20,907.56x = 31,364.16 × 6,117.56
  4. Step 4: Simplify right side
    20,907.56x = 191,872,130.65
  5. Step 5: Solve for x
    x = 191,872,130.65/20,907.56
  6. Step 6: Final answer
    x = 9,177.17

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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.