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Finding the Fourth Proportional to 19,643.12, 27,106.08 and 11,258

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Solution

The fourth proportional to 19,643.12, 27,106.08 and 11,258 is: 15,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.12 : 27,106.08 = 11,258 : x
  2. Step 2: Convert to fraction form
    19,643.12/27,106.08 = 11,258/x
  3. Step 3: Cross multiply
    19,643.12x = 27,106.08 × 11,258
  4. Step 4: Simplify right side
    19,643.12x = 305,160,248.64
  5. Step 5: Solve for x
    x = 305,160,248.64/19,643.12
  6. Step 6: Final answer
    x = 15,535.22

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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.