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Finding the Fourth Proportional to 9,369, 14,054.31 and 2,443.50

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Solution

The fourth proportional to 9,369, 14,054.31 and 2,443.50 is: 3,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369 : 14,054.31 = 2,443.50 : x
  2. Step 2: Convert to fraction form
    9,369/14,054.31 = 2,443.50/x
  3. Step 3: Cross multiply
    9,369x = 14,054.31 × 2,443.50
  4. Step 4: Simplify right side
    9,369x = 34,341,706.49
  5. Step 5: Solve for x
    x = 34,341,706.49/9,369
  6. Step 6: Final answer
    x = 3,665.46

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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.