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Finding the Fourth Proportional to 30,862, 42,589.56 and 16,714.84

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Solution

The fourth proportional to 30,862, 42,589.56 and 16,714.84 is: 23,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862 : 42,589.56 = 16,714.84 : x
  2. Step 2: Convert to fraction form
    30,862/42,589.56 = 16,714.84/x
  3. Step 3: Cross multiply
    30,862x = 42,589.56 × 16,714.84
  4. Step 4: Simplify right side
    30,862x = 711,877,681.07
  5. Step 5: Solve for x
    x = 711,877,681.07/30,862
  6. Step 6: Final answer
    x = 23,066.48

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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.