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Finding the Fourth Proportional to 38,517, 53,152.80 and 21,521.52

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Solution

The fourth proportional to 38,517, 53,152.80 and 21,521.52 is: 29,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517 : 53,152.80 = 21,521.52 : x
  2. Step 2: Convert to fraction form
    38,517/53,152.80 = 21,521.52/x
  3. Step 3: Cross multiply
    38,517x = 53,152.80 × 21,521.52
  4. Step 4: Simplify right side
    38,517x = 1,143,929,048.26
  5. Step 5: Solve for x
    x = 1,143,929,048.26/38,517
  6. Step 6: Final answer
    x = 29,699.33

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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.