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Finding the Fourth Proportional to 13,213, 18,234.28 and 7,470

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Solution

The fourth proportional to 13,213, 18,234.28 and 7,470 is: 10,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213 : 18,234.28 = 7,470 : x
  2. Step 2: Convert to fraction form
    13,213/18,234.28 = 7,470/x
  3. Step 3: Cross multiply
    13,213x = 18,234.28 × 7,470
  4. Step 4: Simplify right side
    13,213x = 136,210,071.60
  5. Step 5: Solve for x
    x = 136,210,071.60/13,213
  6. Step 6: Final answer
    x = 10,308.79

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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.