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Finding the Fourth Proportional to 15,813.80, 21,830.02 and 9,442.60

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Solution

The fourth proportional to 15,813.80, 21,830.02 and 9,442.60 is: 13,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.80 : 21,830.02 = 9,442.60 : x
  2. Step 2: Convert to fraction form
    15,813.80/21,830.02 = 9,442.60/x
  3. Step 3: Cross multiply
    15,813.80x = 21,830.02 × 9,442.60
  4. Step 4: Simplify right side
    15,813.80x = 206,132,146.85
  5. Step 5: Solve for x
    x = 206,132,146.85/15,813.80
  6. Step 6: Final answer
    x = 13,034.95

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1.5x scale

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.