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Finding the Fourth Proportional to 14,141.60, 19,516.56 and 7,856

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Solution

The fourth proportional to 14,141.60, 19,516.56 and 7,856 is: 10,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.60 : 19,516.56 = 7,856 : x
  2. Step 2: Convert to fraction form
    14,141.60/19,516.56 = 7,856/x
  3. Step 3: Cross multiply
    14,141.60x = 19,516.56 × 7,856
  4. Step 4: Simplify right side
    14,141.60x = 153,322,095.36
  5. Step 5: Solve for x
    x = 153,322,095.36/14,141.60
  6. Step 6: Final answer
    x = 10,841.92

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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.