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Finding the Fourth Proportional to 36,966, 55,449.48 and 12,342

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Solution

The fourth proportional to 36,966, 55,449.48 and 12,342 is: 18,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,966 : 55,449.48 = 12,342 : x
  2. Step 2: Convert to fraction form
    36,966/55,449.48 = 12,342/x
  3. Step 3: Cross multiply
    36,966x = 55,449.48 × 12,342
  4. Step 4: Simplify right side
    36,966x = 684,357,482.16
  5. Step 5: Solve for x
    x = 684,357,482.16/36,966
  6. Step 6: Final answer
    x = 18,513.16

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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.