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Finding the Fourth Proportional to 15,820.20, 23,670 and 9,817.20

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Solution

The fourth proportional to 15,820.20, 23,670 and 9,817.20 is: 14,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.20 : 23,670 = 9,817.20 : x
  2. Step 2: Convert to fraction form
    15,820.20/23,670 = 9,817.20/x
  3. Step 3: Cross multiply
    15,820.20x = 23,670 × 9,817.20
  4. Step 4: Simplify right side
    15,820.20x = 232,373,124.00
  5. Step 5: Solve for x
    x = 232,373,124.00/15,820.20
  6. Step 6: Final answer
    x = 14,688.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.