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Finding the Fourth Proportional to 34,978.68, 52,457.04 and 13,910.40

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Solution

The fourth proportional to 34,978.68, 52,457.04 and 13,910.40 is: 20,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978.68 : 52,457.04 = 13,910.40 : x
  2. Step 2: Convert to fraction form
    34,978.68/52,457.04 = 13,910.40/x
  3. Step 3: Cross multiply
    34,978.68x = 52,457.04 × 13,910.40
  4. Step 4: Simplify right side
    34,978.68x = 729,698,409.22
  5. Step 5: Solve for x
    x = 729,698,409.22/34,978.68
  6. Step 6: Final answer
    x = 20,861.23

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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.