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Finding the Fourth Proportional to 14,141.76, 19,516.32 and 7,854

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Solution

The fourth proportional to 14,141.76, 19,516.32 and 7,854 is: 10,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.76 : 19,516.32 = 7,854 : x
  2. Step 2: Convert to fraction form
    14,141.76/19,516.32 = 7,854/x
  3. Step 3: Cross multiply
    14,141.76x = 19,516.32 × 7,854
  4. Step 4: Simplify right side
    14,141.76x = 153,281,177.28
  5. Step 5: Solve for x
    x = 153,281,177.28/14,141.76
  6. Step 6: Final answer
    x = 10,838.90

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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.