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Finding the Fourth Proportional to 13,125.76, 19,754.72 and 9,856

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Solution

The fourth proportional to 13,125.76, 19,754.72 and 9,856 is: 14,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.76 : 19,754.72 = 9,856 : x
  2. Step 2: Convert to fraction form
    13,125.76/19,754.72 = 9,856/x
  3. Step 3: Cross multiply
    13,125.76x = 19,754.72 × 9,856
  4. Step 4: Simplify right side
    13,125.76x = 194,702,520.32
  5. Step 5: Solve for x
    x = 194,702,520.32/13,125.76
  6. Step 6: Final answer
    x = 14,833.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.