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Finding the Fourth Proportional to 15,830.40, 23,749.20 and 9,253.20

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Solution

The fourth proportional to 15,830.40, 23,749.20 and 9,253.20 is: 13,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.40 : 23,749.20 = 9,253.20 : x
  2. Step 2: Convert to fraction form
    15,830.40/23,749.20 = 9,253.20/x
  3. Step 3: Cross multiply
    15,830.40x = 23,749.20 × 9,253.20
  4. Step 4: Simplify right side
    15,830.40x = 219,756,097.44
  5. Step 5: Solve for x
    x = 219,756,097.44/15,830.40
  6. Step 6: Final answer
    x = 13,881.90

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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.