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Finding the Fourth Proportional to 25,102.34, 37,643.91 and 8,457.90

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Solution

The fourth proportional to 25,102.34, 37,643.91 and 8,457.90 is: 12,683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.34 : 37,643.91 = 8,457.90 : x
  2. Step 2: Convert to fraction form
    25,102.34/37,643.91 = 8,457.90/x
  3. Step 3: Cross multiply
    25,102.34x = 37,643.91 × 8,457.90
  4. Step 4: Simplify right side
    25,102.34x = 318,388,426.39
  5. Step 5: Solve for x
    x = 318,388,426.39/25,102.34
  6. Step 6: Final answer
    x = 12,683.62

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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.