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Finding the Fourth Proportional to 10,284, 14,191.92 and 6,557.28

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Solution

The fourth proportional to 10,284, 14,191.92 and 6,557.28 is: 9,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284 : 14,191.92 = 6,557.28 : x
  2. Step 2: Convert to fraction form
    10,284/14,191.92 = 6,557.28/x
  3. Step 3: Cross multiply
    10,284x = 14,191.92 × 6,557.28
  4. Step 4: Simplify right side
    10,284x = 93,060,393.18
  5. Step 5: Solve for x
    x = 93,060,393.18/10,284
  6. Step 6: Final answer
    x = 9,049.05

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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.