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Finding the Fourth Proportional to 31,043.40, 42,817.02 and 19,703.16

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Solution

The fourth proportional to 31,043.40, 42,817.02 and 19,703.16 is: 27,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.40 : 42,817.02 = 19,703.16 : x
  2. Step 2: Convert to fraction form
    31,043.40/42,817.02 = 19,703.16/x
  3. Step 3: Cross multiply
    31,043.40x = 42,817.02 × 19,703.16
  4. Step 4: Simplify right side
    31,043.40x = 843,630,595.78
  5. Step 5: Solve for x
    x = 843,630,595.78/31,043.40
  6. Step 6: Final answer
    x = 27,175.84

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1.5x scale

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.