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Finding the Fourth Proportional to 12,564, 18,919.20 and 9,300.24

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Solution

The fourth proportional to 12,564, 18,919.20 and 9,300.24 is: 14,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564 : 18,919.20 = 9,300.24 : x
  2. Step 2: Convert to fraction form
    12,564/18,919.20 = 9,300.24/x
  3. Step 3: Cross multiply
    12,564x = 18,919.20 × 9,300.24
  4. Step 4: Simplify right side
    12,564x = 175,953,100.61
  5. Step 5: Solve for x
    x = 175,953,100.61/12,564
  6. Step 6: Final answer
    x = 14,004.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.