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Finding the Fourth Proportional to 7,887.48, 11,810.10 and 4,763.10

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Solution

The fourth proportional to 7,887.48, 11,810.10 and 4,763.10 is: 7,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.48 : 11,810.10 = 4,763.10 : x
  2. Step 2: Convert to fraction form
    7,887.48/11,810.10 = 4,763.10/x
  3. Step 3: Cross multiply
    7,887.48x = 11,810.10 × 4,763.10
  4. Step 4: Simplify right side
    7,887.48x = 56,252,749.46
  5. Step 5: Solve for x
    x = 56,252,749.46/7,887.48
  6. Step 6: Final answer
    x = 7,131.91

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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.