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Finding the Fourth Proportional to 14,143.76, 19,519.08 and 7,856

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Solution

The fourth proportional to 14,143.76, 19,519.08 and 7,856 is: 10,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.76 : 19,519.08 = 7,856 : x
  2. Step 2: Convert to fraction form
    14,143.76/19,519.08 = 7,856/x
  3. Step 3: Cross multiply
    14,143.76x = 19,519.08 × 7,856
  4. Step 4: Simplify right side
    14,143.76x = 153,341,892.48
  5. Step 5: Solve for x
    x = 153,341,892.48/14,143.76
  6. Step 6: Final answer
    x = 10,841.66

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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.