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Finding the Fourth Proportional to 5,653.90, 8,480.76 and 1,758.31

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Solution

The fourth proportional to 5,653.90, 8,480.76 and 1,758.31 is: 2,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.90 : 8,480.76 = 1,758.31 : x
  2. Step 2: Convert to fraction form
    5,653.90/8,480.76 = 1,758.31/x
  3. Step 3: Cross multiply
    5,653.90x = 8,480.76 × 1,758.31
  4. Step 4: Simplify right side
    5,653.90x = 14,911,805.12
  5. Step 5: Solve for x
    x = 14,911,805.12/5,653.90
  6. Step 6: Final answer
    x = 2,637.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.