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Finding the Fourth Proportional to 29,554.20, 40,784.04 and 16,978.68

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Solution

The fourth proportional to 29,554.20, 40,784.04 and 16,978.68 is: 23,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,554.20 : 40,784.04 = 16,978.68 : x
  2. Step 2: Convert to fraction form
    29,554.20/40,784.04 = 16,978.68/x
  3. Step 3: Cross multiply
    29,554.20x = 40,784.04 × 16,978.68
  4. Step 4: Simplify right side
    29,554.20x = 692,459,164.27
  5. Step 5: Solve for x
    x = 692,459,164.27/29,554.20
  6. Step 6: Final answer
    x = 23,430.14

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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.