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Finding the Fourth Proportional to 13,413.85, 20,030.42 and 10,953.49

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Solution

The fourth proportional to 13,413.85, 20,030.42 and 10,953.49 is: 16,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.85 : 20,030.42 = 10,953.49 : x
  2. Step 2: Convert to fraction form
    13,413.85/20,030.42 = 10,953.49/x
  3. Step 3: Cross multiply
    13,413.85x = 20,030.42 × 10,953.49
  4. Step 4: Simplify right side
    13,413.85x = 219,403,005.17
  5. Step 5: Solve for x
    x = 219,403,005.17/13,413.85
  6. Step 6: Final answer
    x = 16,356.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.