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Finding the Fourth Proportional to 12,384.18, 18,581.04 and 7,457.22

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Solution

The fourth proportional to 12,384.18, 18,581.04 and 7,457.22 is: 11,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.18 : 18,581.04 = 7,457.22 : x
  2. Step 2: Convert to fraction form
    12,384.18/18,581.04 = 7,457.22/x
  3. Step 3: Cross multiply
    12,384.18x = 18,581.04 × 7,457.22
  4. Step 4: Simplify right side
    12,384.18x = 138,562,903.11
  5. Step 5: Solve for x
    x = 138,562,903.11/12,384.18
  6. Step 6: Final answer
    x = 11,188.70

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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.