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Finding the Fourth Proportional to 46,782, 64,560.24 and 28,889.28

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Solution

The fourth proportional to 46,782, 64,560.24 and 28,889.28 is: 39,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,782 : 64,560.24 = 28,889.28 : x
  2. Step 2: Convert to fraction form
    46,782/64,560.24 = 28,889.28/x
  3. Step 3: Cross multiply
    46,782x = 64,560.24 × 28,889.28
  4. Step 4: Simplify right side
    46,782x = 1,865,098,850.23
  5. Step 5: Solve for x
    x = 1,865,098,850.23/46,782
  6. Step 6: Final answer
    x = 39,867.87

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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.