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Finding the Fourth Proportional to 31,690.08, 43,741.04 and 18,952.02

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Solution

The fourth proportional to 31,690.08, 43,741.04 and 18,952.02 is: 26,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.08 : 43,741.04 = 18,952.02 : x
  2. Step 2: Convert to fraction form
    31,690.08/43,741.04 = 18,952.02/x
  3. Step 3: Cross multiply
    31,690.08x = 43,741.04 × 18,952.02
  4. Step 4: Simplify right side
    31,690.08x = 828,980,970.14
  5. Step 5: Solve for x
    x = 828,980,970.14/31,690.08
  6. Step 6: Final answer
    x = 26,159.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.