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Finding the Fourth Proportional to 39,136, 58,712.64 and 14,512

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Solution

The fourth proportional to 39,136, 58,712.64 and 14,512 is: 21,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,136 : 58,712.64 = 14,512 : x
  2. Step 2: Convert to fraction form
    39,136/58,712.64 = 14,512/x
  3. Step 3: Cross multiply
    39,136x = 58,712.64 × 14,512
  4. Step 4: Simplify right side
    39,136x = 852,037,831.68
  5. Step 5: Solve for x
    x = 852,037,831.68/39,136
  6. Step 6: Final answer
    x = 21,771.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.