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Finding the Fourth Proportional to 14,258, 19,677.06 and 7,885.12

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Solution

The fourth proportional to 14,258, 19,677.06 and 7,885.12 is: 10,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258 : 19,677.06 = 7,885.12 : x
  2. Step 2: Convert to fraction form
    14,258/19,677.06 = 7,885.12/x
  3. Step 3: Cross multiply
    14,258x = 19,677.06 × 7,885.12
  4. Step 4: Simplify right side
    14,258x = 155,155,979.35
  5. Step 5: Solve for x
    x = 155,155,979.35/14,258
  6. Step 6: Final answer
    x = 10,882.03

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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.