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Finding the Fourth Proportional to 14,477, 19,978.34 and 7,853

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Solution

The fourth proportional to 14,477, 19,978.34 and 7,853 is: 10,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477 : 19,978.34 = 7,853 : x
  2. Step 2: Convert to fraction form
    14,477/19,978.34 = 7,853/x
  3. Step 3: Cross multiply
    14,477x = 19,978.34 × 7,853
  4. Step 4: Simplify right side
    14,477x = 156,889,904.02
  5. Step 5: Solve for x
    x = 156,889,904.02/14,477
  6. Step 6: Final answer
    x = 10,837.18

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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.