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Finding the Fourth Proportional to 38,429.51, 53,028 and 21,429.77

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Solution

The fourth proportional to 38,429.51, 53,028 and 21,429.77 is: 29,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429.51 : 53,028 = 21,429.77 : x
  2. Step 2: Convert to fraction form
    38,429.51/53,028 = 21,429.77/x
  3. Step 3: Cross multiply
    38,429.51x = 53,028 × 21,429.77
  4. Step 4: Simplify right side
    38,429.51x = 1,136,377,578.42
  5. Step 5: Solve for x
    x = 1,136,377,578.42/38,429.51
  6. Step 6: Final answer
    x = 29,570.45

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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.