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Finding the Fourth Proportional to 14,844, 20,484.86 and 10,128.18

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Solution

The fourth proportional to 14,844, 20,484.86 and 10,128.18 is: 13,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,844 : 20,484.86 = 10,128.18 : x
  2. Step 2: Convert to fraction form
    14,844/20,484.86 = 10,128.18/x
  3. Step 3: Cross multiply
    14,844x = 20,484.86 × 10,128.18
  4. Step 4: Simplify right side
    14,844x = 207,474,298.71
  5. Step 5: Solve for x
    x = 207,474,298.71/14,844
  6. Step 6: Final answer
    x = 13,976.98

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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.