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Finding the Fourth Proportional to 10,192, 14,030.40 and 9,143.68

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Solution

The fourth proportional to 10,192, 14,030.40 and 9,143.68 is: 12,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192 : 14,030.40 = 9,143.68 : x
  2. Step 2: Convert to fraction form
    10,192/14,030.40 = 9,143.68/x
  3. Step 3: Cross multiply
    10,192x = 14,030.40 × 9,143.68
  4. Step 4: Simplify right side
    10,192x = 128,289,487.87
  5. Step 5: Solve for x
    x = 128,289,487.87/10,192
  6. Step 6: Final answer
    x = 12,587.27

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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.