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Finding the Fourth Proportional to 15,854, 21,878.52 and 9,230

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Solution

The fourth proportional to 15,854, 21,878.52 and 9,230 is: 12,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854 : 21,878.52 = 9,230 : x
  2. Step 2: Convert to fraction form
    15,854/21,878.52 = 9,230/x
  3. Step 3: Cross multiply
    15,854x = 21,878.52 × 9,230
  4. Step 4: Simplify right side
    15,854x = 201,938,739.60
  5. Step 5: Solve for x
    x = 201,938,739.60/15,854
  6. Step 6: Final answer
    x = 12,737.40

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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.