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Finding the Fourth Proportional to 62,784, 86,637.60 and 34,483.84

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Solution

The fourth proportional to 62,784, 86,637.60 and 34,483.84 is: 47,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,784 : 86,637.60 = 34,483.84 : x
  2. Step 2: Convert to fraction form
    62,784/86,637.60 = 34,483.84/x
  3. Step 3: Cross multiply
    62,784x = 86,637.60 × 34,483.84
  4. Step 4: Simplify right side
    62,784x = 2,987,597,136.38
  5. Step 5: Solve for x
    x = 2,987,597,136.38/62,784
  6. Step 6: Final answer
    x = 47,585.33

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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.