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Finding the Fourth Proportional to 28,735, 39,653.91 and 16,159.78

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Solution

The fourth proportional to 28,735, 39,653.91 and 16,159.78 is: 22,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,735 : 39,653.91 = 16,159.78 : x
  2. Step 2: Convert to fraction form
    28,735/39,653.91 = 16,159.78/x
  3. Step 3: Cross multiply
    28,735x = 39,653.91 × 16,159.78
  4. Step 4: Simplify right side
    28,735x = 640,798,461.74
  5. Step 5: Solve for x
    x = 640,798,461.74/28,735
  6. Step 6: Final answer
    x = 22,300.28

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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.