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Finding the Fourth Proportional to 3,136.61, 4,328.51 and 1,810.31

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Solution

The fourth proportional to 3,136.61, 4,328.51 and 1,810.31 is: 2,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.61 : 4,328.51 = 1,810.31 : x
  2. Step 2: Convert to fraction form
    3,136.61/4,328.51 = 1,810.31/x
  3. Step 3: Cross multiply
    3,136.61x = 4,328.51 × 1,810.31
  4. Step 4: Simplify right side
    3,136.61x = 7,835,944.94
  5. Step 5: Solve for x
    x = 7,835,944.94/3,136.61
  6. Step 6: Final answer
    x = 2,498.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.