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Finding the Fourth Proportional to 10,972, 15,141.54 and 6,258.88

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Solution

The fourth proportional to 10,972, 15,141.54 and 6,258.88 is: 8,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972 : 15,141.54 = 6,258.88 : x
  2. Step 2: Convert to fraction form
    10,972/15,141.54 = 6,258.88/x
  3. Step 3: Cross multiply
    10,972x = 15,141.54 × 6,258.88
  4. Step 4: Simplify right side
    10,972x = 94,769,081.88
  5. Step 5: Solve for x
    x = 94,769,081.88/10,972
  6. Step 6: Final answer
    x = 8,637.36

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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.