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Finding the Fourth Proportional to 10,442.99, 14,413.14 and 7,920.88

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Solution

The fourth proportional to 10,442.99, 14,413.14 and 7,920.88 is: 10,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.99 : 14,413.14 = 7,920.88 : x
  2. Step 2: Convert to fraction form
    10,442.99/14,413.14 = 7,920.88/x
  3. Step 3: Cross multiply
    10,442.99x = 14,413.14 × 7,920.88
  4. Step 4: Simplify right side
    10,442.99x = 114,164,716.33
  5. Step 5: Solve for x
    x = 114,164,716.33/10,442.99
  6. Step 6: Final answer
    x = 10,932.18

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1.5x scale

Why These Related Problems?

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