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Finding the Fourth Proportional to 5,336.25, 8,005.40 and 1,637.82

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Solution

The fourth proportional to 5,336.25, 8,005.40 and 1,637.82 is: 2,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.25 : 8,005.40 = 1,637.82 : x
  2. Step 2: Convert to fraction form
    5,336.25/8,005.40 = 1,637.82/x
  3. Step 3: Cross multiply
    5,336.25x = 8,005.40 × 1,637.82
  4. Step 4: Simplify right side
    5,336.25x = 13,111,402.18
  5. Step 5: Solve for x
    x = 13,111,402.18/5,336.25
  6. Step 6: Final answer
    x = 2,457.05

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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.