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Finding the Fourth Proportional to 3,547.98, 5,322.80 and 1,788.66

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Solution

The fourth proportional to 3,547.98, 5,322.80 and 1,788.66 is: 2,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.98 : 5,322.80 = 1,788.66 : x
  2. Step 2: Convert to fraction form
    3,547.98/5,322.80 = 1,788.66/x
  3. Step 3: Cross multiply
    3,547.98x = 5,322.80 × 1,788.66
  4. Step 4: Simplify right side
    3,547.98x = 9,520,679.45
  5. Step 5: Solve for x
    x = 9,520,679.45/3,547.98
  6. Step 6: Final answer
    x = 2,683.41

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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.