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Finding the Fourth Proportional to 9,990.54, 14,991.48 and 6,480

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Solution

The fourth proportional to 9,990.54, 14,991.48 and 6,480 is: 9,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.54 : 14,991.48 = 6,480 : x
  2. Step 2: Convert to fraction form
    9,990.54/14,991.48 = 6,480/x
  3. Step 3: Cross multiply
    9,990.54x = 14,991.48 × 6,480
  4. Step 4: Simplify right side
    9,990.54x = 97,144,790.40
  5. Step 5: Solve for x
    x = 97,144,790.40/9,990.54
  6. Step 6: Final answer
    x = 9,723.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.