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Finding the Fourth Proportional to 51,816, 71,506.08 and 28,264

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Solution

The fourth proportional to 51,816, 71,506.08 and 28,264 is: 39,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,816 : 71,506.08 = 28,264 : x
  2. Step 2: Convert to fraction form
    51,816/71,506.08 = 28,264/x
  3. Step 3: Cross multiply
    51,816x = 71,506.08 × 28,264
  4. Step 4: Simplify right side
    51,816x = 2,021,047,845.12
  5. Step 5: Solve for x
    x = 2,021,047,845.12/51,816
  6. Step 6: Final answer
    x = 39,004.32

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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.