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Finding the Fourth Proportional to 15,897.60, 21,939.12 and 8,823.60

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Solution

The fourth proportional to 15,897.60, 21,939.12 and 8,823.60 is: 12,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.60 : 21,939.12 = 8,823.60 : x
  2. Step 2: Convert to fraction form
    15,897.60/21,939.12 = 8,823.60/x
  3. Step 3: Cross multiply
    15,897.60x = 21,939.12 × 8,823.60
  4. Step 4: Simplify right side
    15,897.60x = 193,582,019.23
  5. Step 5: Solve for x
    x = 193,582,019.23/15,897.60
  6. Step 6: Final answer
    x = 12,176.81

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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.