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Finding the Fourth Proportional to 29,700, 40,986 and 17,763.84

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Solution

The fourth proportional to 29,700, 40,986 and 17,763.84 is: 24,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,700 : 40,986 = 17,763.84 : x
  2. Step 2: Convert to fraction form
    29,700/40,986 = 17,763.84/x
  3. Step 3: Cross multiply
    29,700x = 40,986 × 17,763.84
  4. Step 4: Simplify right side
    29,700x = 728,068,746.24
  5. Step 5: Solve for x
    x = 728,068,746.24/29,700
  6. Step 6: Final answer
    x = 24,514.10

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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.