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Finding the Fourth Proportional to 6,865.41, 9,471.58 and 4,478.19

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Solution

The fourth proportional to 6,865.41, 9,471.58 and 4,478.19 is: 6,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.41 : 9,471.58 = 4,478.19 : x
  2. Step 2: Convert to fraction form
    6,865.41/9,471.58 = 4,478.19/x
  3. Step 3: Cross multiply
    6,865.41x = 9,471.58 × 4,478.19
  4. Step 4: Simplify right side
    6,865.41x = 42,415,513.32
  5. Step 5: Solve for x
    x = 42,415,513.32/6,865.41
  6. Step 6: Final answer
    x = 6,178.15

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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.