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Finding the Fourth Proportional to 5,577.81, 7,700.72 and 3,484.77

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Solution

The fourth proportional to 5,577.81, 7,700.72 and 3,484.77 is: 4,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.81 : 7,700.72 = 3,484.77 : x
  2. Step 2: Convert to fraction form
    5,577.81/7,700.72 = 3,484.77/x
  3. Step 3: Cross multiply
    5,577.81x = 7,700.72 × 3,484.77
  4. Step 4: Simplify right side
    5,577.81x = 26,835,238.03
  5. Step 5: Solve for x
    x = 26,835,238.03/5,577.81
  6. Step 6: Final answer
    x = 4,811.07

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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.