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Finding the Fourth Proportional to 14,710, 20,285.83 and 9,678.49

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Solution

The fourth proportional to 14,710, 20,285.83 and 9,678.49 is: 13,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710 : 20,285.83 = 9,678.49 : x
  2. Step 2: Convert to fraction form
    14,710/20,285.83 = 9,678.49/x
  3. Step 3: Cross multiply
    14,710x = 20,285.83 × 9,678.49
  4. Step 4: Simplify right side
    14,710x = 196,336,202.80
  5. Step 5: Solve for x
    x = 196,336,202.80/14,710
  6. Step 6: Final answer
    x = 13,347.12

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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.