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Finding the Fourth Proportional to 52,641.78, 72,646.62 and 28,770

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Solution

The fourth proportional to 52,641.78, 72,646.62 and 28,770 is: 39,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641.78 : 72,646.62 = 28,770 : x
  2. Step 2: Convert to fraction form
    52,641.78/72,646.62 = 28,770/x
  3. Step 3: Cross multiply
    52,641.78x = 72,646.62 × 28,770
  4. Step 4: Simplify right side
    52,641.78x = 2,090,043,257.40
  5. Step 5: Solve for x
    x = 2,090,043,257.40/52,641.78
  6. Step 6: Final answer
    x = 39,703.13

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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.