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Finding the Fourth Proportional to 19,970.78, 27,559.32 and 11,019.14

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Solution

The fourth proportional to 19,970.78, 27,559.32 and 11,019.14 is: 15,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.78 : 27,559.32 = 11,019.14 : x
  2. Step 2: Convert to fraction form
    19,970.78/27,559.32 = 11,019.14/x
  3. Step 3: Cross multiply
    19,970.78x = 27,559.32 × 11,019.14
  4. Step 4: Simplify right side
    19,970.78x = 303,680,005.38
  5. Step 5: Solve for x
    x = 303,680,005.38/19,970.78
  6. Step 6: Final answer
    x = 15,206.22

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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.