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Finding the Fourth Proportional to 10,827, 16,239.86 and 2,929.40

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Solution

The fourth proportional to 10,827, 16,239.86 and 2,929.40 is: 4,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827 : 16,239.86 = 2,929.40 : x
  2. Step 2: Convert to fraction form
    10,827/16,239.86 = 2,929.40/x
  3. Step 3: Cross multiply
    10,827x = 16,239.86 × 2,929.40
  4. Step 4: Simplify right side
    10,827x = 47,573,045.88
  5. Step 5: Solve for x
    x = 47,573,045.88/10,827
  6. Step 6: Final answer
    x = 4,393.93

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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.