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Finding the Fourth Proportional to 15,641.84, 21,578.52 and 9,014

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Solution

The fourth proportional to 15,641.84, 21,578.52 and 9,014 is: 12,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.84 : 21,578.52 = 9,014 : x
  2. Step 2: Convert to fraction form
    15,641.84/21,578.52 = 9,014/x
  3. Step 3: Cross multiply
    15,641.84x = 21,578.52 × 9,014
  4. Step 4: Simplify right side
    15,641.84x = 194,508,779.28
  5. Step 5: Solve for x
    x = 194,508,779.28/15,641.84
  6. Step 6: Final answer
    x = 12,435.16

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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.