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Finding the Fourth Proportional to 6,316.66, 9,477.12 and 3,973.90

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Solution

The fourth proportional to 6,316.66, 9,477.12 and 3,973.90 is: 5,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.66 : 9,477.12 = 3,973.90 : x
  2. Step 2: Convert to fraction form
    6,316.66/9,477.12 = 3,973.90/x
  3. Step 3: Cross multiply
    6,316.66x = 9,477.12 × 3,973.90
  4. Step 4: Simplify right side
    6,316.66x = 37,661,127.17
  5. Step 5: Solve for x
    x = 37,661,127.17/6,316.66
  6. Step 6: Final answer
    x = 5,962.19

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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.