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Finding the Fourth Proportional to 30,384, 41,931.36 and 17,136

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Solution

The fourth proportional to 30,384, 41,931.36 and 17,136 is: 23,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384 : 41,931.36 = 17,136 : x
  2. Step 2: Convert to fraction form
    30,384/41,931.36 = 17,136/x
  3. Step 3: Cross multiply
    30,384x = 41,931.36 × 17,136
  4. Step 4: Simplify right side
    30,384x = 718,535,784.96
  5. Step 5: Solve for x
    x = 718,535,784.96/30,384
  6. Step 6: Final answer
    x = 23,648.49

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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.