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Finding the Fourth Proportional to 4,700.42, 6,471.80 and 3,990.77

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Solution

The fourth proportional to 4,700.42, 6,471.80 and 3,990.77 is: 5,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.42 : 6,471.80 = 3,990.77 : x
  2. Step 2: Convert to fraction form
    4,700.42/6,471.80 = 3,990.77/x
  3. Step 3: Cross multiply
    4,700.42x = 6,471.80 × 3,990.77
  4. Step 4: Simplify right side
    4,700.42x = 25,827,465.29
  5. Step 5: Solve for x
    x = 25,827,465.29/4,700.42
  6. Step 6: Final answer
    x = 5,494.72

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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.