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Finding the Fourth Proportional to 3,871.67, 5,808.63 and 1,406.45

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Solution

The fourth proportional to 3,871.67, 5,808.63 and 1,406.45 is: 2,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.67 : 5,808.63 = 1,406.45 : x
  2. Step 2: Convert to fraction form
    3,871.67/5,808.63 = 1,406.45/x
  3. Step 3: Cross multiply
    3,871.67x = 5,808.63 × 1,406.45
  4. Step 4: Simplify right side
    3,871.67x = 8,169,547.66
  5. Step 5: Solve for x
    x = 8,169,547.66/3,871.67
  6. Step 6: Final answer
    x = 2,110.08

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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.