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Finding the Fourth Proportional to 7,800.12, 11,701.71 and 2,536.47

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Solution

The fourth proportional to 7,800.12, 11,701.71 and 2,536.47 is: 3,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.12 : 11,701.71 = 2,536.47 : x
  2. Step 2: Convert to fraction form
    7,800.12/11,701.71 = 2,536.47/x
  3. Step 3: Cross multiply
    7,800.12x = 11,701.71 × 2,536.47
  4. Step 4: Simplify right side
    7,800.12x = 29,681,036.36
  5. Step 5: Solve for x
    x = 29,681,036.36/7,800.12
  6. Step 6: Final answer
    x = 3,805.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.