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Finding the Fourth Proportional to 9,514.87, 13,117.93 and 7,807.12

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Solution

The fourth proportional to 9,514.87, 13,117.93 and 7,807.12 is: 10,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.87 : 13,117.93 = 7,807.12 : x
  2. Step 2: Convert to fraction form
    9,514.87/13,117.93 = 7,807.12/x
  3. Step 3: Cross multiply
    9,514.87x = 13,117.93 × 7,807.12
  4. Step 4: Simplify right side
    9,514.87x = 102,413,245.26
  5. Step 5: Solve for x
    x = 102,413,245.26/9,514.87
  6. Step 6: Final answer
    x = 10,763.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.