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Finding the Fourth Proportional to 10,144.51, 15,216.77 and 6,656.59

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Solution

The fourth proportional to 10,144.51, 15,216.77 and 6,656.59 is: 9,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.51 : 15,216.77 = 6,656.59 : x
  2. Step 2: Convert to fraction form
    10,144.51/15,216.77 = 6,656.59/x
  3. Step 3: Cross multiply
    10,144.51x = 15,216.77 × 6,656.59
  4. Step 4: Simplify right side
    10,144.51x = 101,291,752.65
  5. Step 5: Solve for x
    x = 101,291,752.65/10,144.51
  6. Step 6: Final answer
    x = 9,984.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.