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Finding the Fourth Proportional to 9,930.47, 14,881.64 and 7,143.98

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Solution

The fourth proportional to 9,930.47, 14,881.64 and 7,143.98 is: 10,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.47 : 14,881.64 = 7,143.98 : x
  2. Step 2: Convert to fraction form
    9,930.47/14,881.64 = 7,143.98/x
  3. Step 3: Cross multiply
    9,930.47x = 14,881.64 × 7,143.98
  4. Step 4: Simplify right side
    9,930.47x = 106,314,028.40
  5. Step 5: Solve for x
    x = 106,314,028.40/9,930.47
  6. Step 6: Final answer
    x = 10,705.85

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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.