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Finding the Fourth Proportional to 9,877, 14,783.52 and 5,190.34

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Solution

The fourth proportional to 9,877, 14,783.52 and 5,190.34 is: 7,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877 : 14,783.52 = 5,190.34 : x
  2. Step 2: Convert to fraction form
    9,877/14,783.52 = 5,190.34/x
  3. Step 3: Cross multiply
    9,877x = 14,783.52 × 5,190.34
  4. Step 4: Simplify right side
    9,877x = 76,731,495.20
  5. Step 5: Solve for x
    x = 76,731,495.20/9,877
  6. Step 6: Final answer
    x = 7,768.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.