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Finding the Fourth Proportional to 5,653.89, 7,802.37 and 3,136.41

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Solution

The fourth proportional to 5,653.89, 7,802.37 and 3,136.41 is: 4,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.89 : 7,802.37 = 3,136.41 : x
  2. Step 2: Convert to fraction form
    5,653.89/7,802.37 = 3,136.41/x
  3. Step 3: Cross multiply
    5,653.89x = 7,802.37 × 3,136.41
  4. Step 4: Simplify right side
    5,653.89x = 24,471,431.29
  5. Step 5: Solve for x
    x = 24,471,431.29/5,653.89
  6. Step 6: Final answer
    x = 4,328.25

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1.5x scale

Why These Related Problems?

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