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Finding the Fourth Proportional to 9,965.70, 14,943.15 and 4,115.70

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Solution

The fourth proportional to 9,965.70, 14,943.15 and 4,115.70 is: 6,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.70 : 14,943.15 = 4,115.70 : x
  2. Step 2: Convert to fraction form
    9,965.70/14,943.15 = 4,115.70/x
  3. Step 3: Cross multiply
    9,965.70x = 14,943.15 × 4,115.70
  4. Step 4: Simplify right side
    9,965.70x = 61,501,522.46
  5. Step 5: Solve for x
    x = 61,501,522.46/9,965.70
  6. Step 6: Final answer
    x = 6,171.32

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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.