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Finding the Fourth Proportional to 7,800.18, 11,699.48 and 1,956.80

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Solution

The fourth proportional to 7,800.18, 11,699.48 and 1,956.80 is: 2,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.18 : 11,699.48 = 1,956.80 : x
  2. Step 2: Convert to fraction form
    7,800.18/11,699.48 = 1,956.80/x
  3. Step 3: Cross multiply
    7,800.18x = 11,699.48 × 1,956.80
  4. Step 4: Simplify right side
    7,800.18x = 22,893,542.46
  5. Step 5: Solve for x
    x = 22,893,542.46/7,800.18
  6. Step 6: Final answer
    x = 2,935.00

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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.