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Finding the Fourth Proportional to 6,655.76, 9,197.16 and 5,768.72

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Solution

The fourth proportional to 6,655.76, 9,197.16 and 5,768.72 is: 7,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.76 : 9,197.16 = 5,768.72 : x
  2. Step 2: Convert to fraction form
    6,655.76/9,197.16 = 5,768.72/x
  3. Step 3: Cross multiply
    6,655.76x = 9,197.16 × 5,768.72
  4. Step 4: Simplify right side
    6,655.76x = 53,055,840.84
  5. Step 5: Solve for x
    x = 53,055,840.84/6,655.76
  6. Step 6: Final answer
    x = 7,971.42

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1.5x scale

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.