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Finding the Fourth Proportional to 15,642, 21,585.96 and 9,018

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Solution

The fourth proportional to 15,642, 21,585.96 and 9,018 is: 12,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 21,585.96 = 9,018 : x
  2. Step 2: Convert to fraction form
    15,642/21,585.96 = 9,018/x
  3. Step 3: Cross multiply
    15,642x = 21,585.96 × 9,018
  4. Step 4: Simplify right side
    15,642x = 194,662,187.28
  5. Step 5: Solve for x
    x = 194,662,187.28/15,642
  6. Step 6: Final answer
    x = 12,444.84

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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.