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Finding the Fourth Proportional to 14,259.50, 19,678.54 and 7,971.90

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Solution

The fourth proportional to 14,259.50, 19,678.54 and 7,971.90 is: 11,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.50 : 19,678.54 = 7,971.90 : x
  2. Step 2: Convert to fraction form
    14,259.50/19,678.54 = 7,971.90/x
  3. Step 3: Cross multiply
    14,259.50x = 19,678.54 × 7,971.90
  4. Step 4: Simplify right side
    14,259.50x = 156,875,353.03
  5. Step 5: Solve for x
    x = 156,875,353.03/14,259.50
  6. Step 6: Final answer
    x = 11,001.46

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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.