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Finding the Fourth Proportional to 38,702.30, 53,411.94 and 21,480.32

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Solution

The fourth proportional to 38,702.30, 53,411.94 and 21,480.32 is: 29,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.30 : 53,411.94 = 21,480.32 : x
  2. Step 2: Convert to fraction form
    38,702.30/53,411.94 = 21,480.32/x
  3. Step 3: Cross multiply
    38,702.30x = 53,411.94 × 21,480.32
  4. Step 4: Simplify right side
    38,702.30x = 1,147,305,563.02
  5. Step 5: Solve for x
    x = 1,147,305,563.02/38,702.30
  6. Step 6: Final answer
    x = 29,644.38

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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.