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Finding the Fourth Proportional to 7,898.50, 10,899.93 and 4,755.30

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Solution

The fourth proportional to 7,898.50, 10,899.93 and 4,755.30 is: 6,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.50 : 10,899.93 = 4,755.30 : x
  2. Step 2: Convert to fraction form
    7,898.50/10,899.93 = 4,755.30/x
  3. Step 3: Cross multiply
    7,898.50x = 10,899.93 × 4,755.30
  4. Step 4: Simplify right side
    7,898.50x = 51,832,437.13
  5. Step 5: Solve for x
    x = 51,832,437.13/7,898.50
  6. Step 6: Final answer
    x = 6,562.31

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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.