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Finding the Fourth Proportional to 9,966, 14,911.38 and 5,948.49

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Solution

The fourth proportional to 9,966, 14,911.38 and 5,948.49 is: 8,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966 : 14,911.38 = 5,948.49 : x
  2. Step 2: Convert to fraction form
    9,966/14,911.38 = 5,948.49/x
  3. Step 3: Cross multiply
    9,966x = 14,911.38 × 5,948.49
  4. Step 4: Simplify right side
    9,966x = 88,700,194.82
  5. Step 5: Solve for x
    x = 88,700,194.82/9,966
  6. Step 6: Final answer
    x = 8,900.28

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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.