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Finding the Fourth Proportional to 14,351.64, 19,805.25 and 7,978.04

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Solution

The fourth proportional to 14,351.64, 19,805.25 and 7,978.04 is: 11,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,351.64 : 19,805.25 = 7,978.04 : x
  2. Step 2: Convert to fraction form
    14,351.64/19,805.25 = 7,978.04/x
  3. Step 3: Cross multiply
    14,351.64x = 19,805.25 × 7,978.04
  4. Step 4: Simplify right side
    14,351.64x = 158,007,076.71
  5. Step 5: Solve for x
    x = 158,007,076.71/14,351.64
  6. Step 6: Final answer
    x = 11,009.69

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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.