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Finding the Fourth Proportional to 11,549.94, 15,937.98 and 6,515.46

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Solution

The fourth proportional to 11,549.94, 15,937.98 and 6,515.46 is: 8,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.94 : 15,937.98 = 6,515.46 : x
  2. Step 2: Convert to fraction form
    11,549.94/15,937.98 = 6,515.46/x
  3. Step 3: Cross multiply
    11,549.94x = 15,937.98 × 6,515.46
  4. Step 4: Simplify right side
    11,549.94x = 103,843,271.17
  5. Step 5: Solve for x
    x = 103,843,271.17/11,549.94
  6. Step 6: Final answer
    x = 8,990.81

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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.