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Finding the Fourth Proportional to 19,811.59, 29,717.48 and 7,970.81

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Solution

The fourth proportional to 19,811.59, 29,717.48 and 7,970.81 is: 11,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.59 : 29,717.48 = 7,970.81 : x
  2. Step 2: Convert to fraction form
    19,811.59/29,717.48 = 7,970.81/x
  3. Step 3: Cross multiply
    19,811.59x = 29,717.48 × 7,970.81
  4. Step 4: Simplify right side
    19,811.59x = 236,872,258.10
  5. Step 5: Solve for x
    x = 236,872,258.10/19,811.59
  6. Step 6: Final answer
    x = 11,956.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.