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Finding the Fourth Proportional to 38,782.67, 53,515.80 and 21,783

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Solution

The fourth proportional to 38,782.67, 53,515.80 and 21,783 is: 30,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.67 : 53,515.80 = 21,783 : x
  2. Step 2: Convert to fraction form
    38,782.67/53,515.80 = 21,783/x
  3. Step 3: Cross multiply
    38,782.67x = 53,515.80 × 21,783
  4. Step 4: Simplify right side
    38,782.67x = 1,165,734,671.40
  5. Step 5: Solve for x
    x = 1,165,734,671.40/38,782.67
  6. Step 6: Final answer
    x = 30,058.13

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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.