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Finding the Fourth Proportional to 7,818, 11,720.40 and 5,346.76

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Solution

The fourth proportional to 7,818, 11,720.40 and 5,346.76 is: 8,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818 : 11,720.40 = 5,346.76 : x
  2. Step 2: Convert to fraction form
    7,818/11,720.40 = 5,346.76/x
  3. Step 3: Cross multiply
    7,818x = 11,720.40 × 5,346.76
  4. Step 4: Simplify right side
    7,818x = 62,666,165.90
  5. Step 5: Solve for x
    x = 62,666,165.90/7,818
  6. Step 6: Final answer
    x = 8,015.63

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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.