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Finding the Fourth Proportional to 38,707.78, 53,417.69 and 21,713.77

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Solution

The fourth proportional to 38,707.78, 53,417.69 and 21,713.77 is: 29,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,707.78 : 53,417.69 = 21,713.77 : x
  2. Step 2: Convert to fraction form
    38,707.78/53,417.69 = 21,713.77/x
  3. Step 3: Cross multiply
    38,707.78x = 53,417.69 × 21,713.77
  4. Step 4: Simplify right side
    38,707.78x = 1,159,899,434.59
  5. Step 5: Solve for x
    x = 1,159,899,434.59/38,707.78
  6. Step 6: Final answer
    x = 29,965.54

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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.