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Finding the Fourth Proportional to 9,980.84, 14,972.72 and 5,299.66

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Solution

The fourth proportional to 9,980.84, 14,972.72 and 5,299.66 is: 7,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.84 : 14,972.72 = 5,299.66 : x
  2. Step 2: Convert to fraction form
    9,980.84/14,972.72 = 5,299.66/x
  3. Step 3: Cross multiply
    9,980.84x = 14,972.72 × 5,299.66
  4. Step 4: Simplify right side
    9,980.84x = 79,350,325.28
  5. Step 5: Solve for x
    x = 79,350,325.28/9,980.84
  6. Step 6: Final answer
    x = 7,950.27

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1.5x scale

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.