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Finding the Fourth Proportional to 21,853.47, 32,771.88 and 7,810.91

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Solution

The fourth proportional to 21,853.47, 32,771.88 and 7,810.91 is: 11,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.47 : 32,771.88 = 7,810.91 : x
  2. Step 2: Convert to fraction form
    21,853.47/32,771.88 = 7,810.91/x
  3. Step 3: Cross multiply
    21,853.47x = 32,771.88 × 7,810.91
  4. Step 4: Simplify right side
    21,853.47x = 255,978,041.35
  5. Step 5: Solve for x
    x = 255,978,041.35/21,853.47
  6. Step 6: Final answer
    x = 11,713.38

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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.