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Finding the Fourth Proportional to 14,069.17, 19,413.79 and 7,781.59

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Solution

The fourth proportional to 14,069.17, 19,413.79 and 7,781.59 is: 10,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.17 : 19,413.79 = 7,781.59 : x
  2. Step 2: Convert to fraction form
    14,069.17/19,413.79 = 7,781.59/x
  3. Step 3: Cross multiply
    14,069.17x = 19,413.79 × 7,781.59
  4. Step 4: Simplify right side
    14,069.17x = 151,070,154.13
  5. Step 5: Solve for x
    x = 151,070,154.13/14,069.17
  6. Step 6: Final answer
    x = 10,737.67

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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.