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Finding the Fourth Proportional to 10,977.88, 15,152.52 and 6,503.17

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Solution

The fourth proportional to 10,977.88, 15,152.52 and 6,503.17 is: 8,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.88 : 15,152.52 = 6,503.17 : x
  2. Step 2: Convert to fraction form
    10,977.88/15,152.52 = 6,503.17/x
  3. Step 3: Cross multiply
    10,977.88x = 15,152.52 × 6,503.17
  4. Step 4: Simplify right side
    10,977.88x = 98,539,413.49
  5. Step 5: Solve for x
    x = 98,539,413.49/10,977.88
  6. Step 6: Final answer
    x = 8,976.18

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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.