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Finding the Fourth Proportional to 30,643.76, 42,260.30 and 19,877.42

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Solution

The fourth proportional to 30,643.76, 42,260.30 and 19,877.42 is: 27,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.76 : 42,260.30 = 19,877.42 : x
  2. Step 2: Convert to fraction form
    30,643.76/42,260.30 = 19,877.42/x
  3. Step 3: Cross multiply
    30,643.76x = 42,260.30 × 19,877.42
  4. Step 4: Simplify right side
    30,643.76x = 840,025,421.74
  5. Step 5: Solve for x
    x = 840,025,421.74/30,643.76
  6. Step 6: Final answer
    x = 27,412.61

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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.