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Finding the Fourth Proportional to 14,164.95, 19,547.96 and 7,878.27

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Solution

The fourth proportional to 14,164.95, 19,547.96 and 7,878.27 is: 10,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.95 : 19,547.96 = 7,878.27 : x
  2. Step 2: Convert to fraction form
    14,164.95/19,547.96 = 7,878.27/x
  3. Step 3: Cross multiply
    14,164.95x = 19,547.96 × 7,878.27
  4. Step 4: Simplify right side
    14,164.95x = 154,004,067.44
  5. Step 5: Solve for x
    x = 154,004,067.44/14,164.95
  6. Step 6: Final answer
    x = 10,872.19

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1.5x scale

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.