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Finding the Fourth Proportional to 6,316.82, 9,477.10 and 3,032.68

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Solution

The fourth proportional to 6,316.82, 9,477.10 and 3,032.68 is: 4,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.82 : 9,477.10 = 3,032.68 : x
  2. Step 2: Convert to fraction form
    6,316.82/9,477.10 = 3,032.68/x
  3. Step 3: Cross multiply
    6,316.82x = 9,477.10 × 3,032.68
  4. Step 4: Simplify right side
    6,316.82x = 28,741,011.63
  5. Step 5: Solve for x
    x = 28,741,011.63/6,316.82
  6. Step 6: Final answer
    x = 4,549.92

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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.