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Finding the Fourth Proportional to 7,565.99, 10,443.87 and 6,499.48

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Solution

The fourth proportional to 7,565.99, 10,443.87 and 6,499.48 is: 8,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.99 : 10,443.87 = 6,499.48 : x
  2. Step 2: Convert to fraction form
    7,565.99/10,443.87 = 6,499.48/x
  3. Step 3: Cross multiply
    7,565.99x = 10,443.87 × 6,499.48
  4. Step 4: Simplify right side
    7,565.99x = 67,879,730.39
  5. Step 5: Solve for x
    x = 67,879,730.39/7,565.99
  6. Step 6: Final answer
    x = 8,971.69

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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.