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Finding the Fourth Proportional to 38,643.64, 57,952.88 and 12,342.12

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Solution

The fourth proportional to 38,643.64, 57,952.88 and 12,342.12 is: 18,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.64 : 57,952.88 = 12,342.12 : x
  2. Step 2: Convert to fraction form
    38,643.64/57,952.88 = 12,342.12/x
  3. Step 3: Cross multiply
    38,643.64x = 57,952.88 × 12,342.12
  4. Step 4: Simplify right side
    38,643.64x = 715,261,399.31
  5. Step 5: Solve for x
    x = 715,261,399.31/38,643.64
  6. Step 6: Final answer
    x = 18,509.16

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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.