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Finding the Fourth Proportional to 21,853.40, 32,783.40 and 8,705.07

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Solution

The fourth proportional to 21,853.40, 32,783.40 and 8,705.07 is: 13,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.40 : 32,783.40 = 8,705.07 : x
  2. Step 2: Convert to fraction form
    21,853.40/32,783.40 = 8,705.07/x
  3. Step 3: Cross multiply
    21,853.40x = 32,783.40 × 8,705.07
  4. Step 4: Simplify right side
    21,853.40x = 285,381,791.84
  5. Step 5: Solve for x
    x = 285,381,791.84/21,853.40
  6. Step 6: Final answer
    x = 13,058.92

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1.5x scale

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.