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Finding the Fourth Proportional to 21,702.40, 32,554.86 and 8,375.47

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Solution

The fourth proportional to 21,702.40, 32,554.86 and 8,375.47 is: 12,563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.40 : 32,554.86 = 8,375.47 : x
  2. Step 2: Convert to fraction form
    21,702.40/32,554.86 = 8,375.47/x
  3. Step 3: Cross multiply
    21,702.40x = 32,554.86 × 8,375.47
  4. Step 4: Simplify right side
    21,702.40x = 272,662,090.51
  5. Step 5: Solve for x
    x = 272,662,090.51/21,702.40
  6. Step 6: Final answer
    x = 12,563.69

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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.