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Finding the Fourth Proportional to 14,358, 19,813.68 and 7,984.61

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Solution

The fourth proportional to 14,358, 19,813.68 and 7,984.61 is: 11,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358 : 19,813.68 = 7,984.61 : x
  2. Step 2: Convert to fraction form
    14,358/19,813.68 = 7,984.61/x
  3. Step 3: Cross multiply
    14,358x = 19,813.68 × 7,984.61
  4. Step 4: Simplify right side
    14,358x = 158,204,507.46
  5. Step 5: Solve for x
    x = 158,204,507.46/14,358
  6. Step 6: Final answer
    x = 11,018.56

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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.