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Finding the Fourth Proportional to 4,777.72, 7,164.87 and 1,656.89

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Solution

The fourth proportional to 4,777.72, 7,164.87 and 1,656.89 is: 2,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.72 : 7,164.87 = 1,656.89 : x
  2. Step 2: Convert to fraction form
    4,777.72/7,164.87 = 1,656.89/x
  3. Step 3: Cross multiply
    4,777.72x = 7,164.87 × 1,656.89
  4. Step 4: Simplify right side
    4,777.72x = 11,871,419.37
  5. Step 5: Solve for x
    x = 11,871,419.37/4,777.72
  6. Step 6: Final answer
    x = 2,484.75

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1.5x scale

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.