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Finding the Fourth Proportional to 14,242.92, 21,368.70 and 6,845.28

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Solution

The fourth proportional to 14,242.92, 21,368.70 and 6,845.28 is: 10,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.92 : 21,368.70 = 6,845.28 : x
  2. Step 2: Convert to fraction form
    14,242.92/21,368.70 = 6,845.28/x
  3. Step 3: Cross multiply
    14,242.92x = 21,368.70 × 6,845.28
  4. Step 4: Simplify right side
    14,242.92x = 146,274,734.74
  5. Step 5: Solve for x
    x = 146,274,734.74/14,242.92
  6. Step 6: Final answer
    x = 10,270.00

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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.