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Finding the Fourth Proportional to 29,032, 40,064.48 and 15,784

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Solution

The fourth proportional to 29,032, 40,064.48 and 15,784 is: 21,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,032 : 40,064.48 = 15,784 : x
  2. Step 2: Convert to fraction form
    29,032/40,064.48 = 15,784/x
  3. Step 3: Cross multiply
    29,032x = 40,064.48 × 15,784
  4. Step 4: Simplify right side
    29,032x = 632,377,752.32
  5. Step 5: Solve for x
    x = 632,377,752.32/29,032
  6. Step 6: Final answer
    x = 21,782.09

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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.