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Finding the Fourth Proportional to 7,812.86, 11,720.65 and 5,042.20

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Solution

The fourth proportional to 7,812.86, 11,720.65 and 5,042.20 is: 7,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.86 : 11,720.65 = 5,042.20 : x
  2. Step 2: Convert to fraction form
    7,812.86/11,720.65 = 5,042.20/x
  3. Step 3: Cross multiply
    7,812.86x = 11,720.65 × 5,042.20
  4. Step 4: Simplify right side
    7,812.86x = 59,097,802.83
  5. Step 5: Solve for x
    x = 59,097,802.83/7,812.86
  6. Step 6: Final answer
    x = 7,564.18

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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.