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Finding the Fourth Proportional to 38,410.69, 53,006.96 and 21,416

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Solution

The fourth proportional to 38,410.69, 53,006.96 and 21,416 is: 29,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.69 : 53,006.96 = 21,416 : x
  2. Step 2: Convert to fraction form
    38,410.69/53,006.96 = 21,416/x
  3. Step 3: Cross multiply
    38,410.69x = 53,006.96 × 21,416
  4. Step 4: Simplify right side
    38,410.69x = 1,135,197,055.36
  5. Step 5: Solve for x
    x = 1,135,197,055.36/38,410.69
  6. Step 6: Final answer
    x = 29,554.20

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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.