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Finding the Fourth Proportional to 14,258.76, 19,677.09 and 7,971.14

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Solution

The fourth proportional to 14,258.76, 19,677.09 and 7,971.14 is: 11,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.76 : 19,677.09 = 7,971.14 : x
  2. Step 2: Convert to fraction form
    14,258.76/19,677.09 = 7,971.14/x
  3. Step 3: Cross multiply
    14,258.76x = 19,677.09 × 7,971.14
  4. Step 4: Simplify right side
    14,258.76x = 156,848,740.80
  5. Step 5: Solve for x
    x = 156,848,740.80/14,258.76
  6. Step 6: Final answer
    x = 11,000.17

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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.