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Finding the Fourth Proportional to 12,908, 19,368.48 and 5,984.48

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Solution

The fourth proportional to 12,908, 19,368.48 and 5,984.48 is: 8,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908 : 19,368.48 = 5,984.48 : x
  2. Step 2: Convert to fraction form
    12,908/19,368.48 = 5,984.48/x
  3. Step 3: Cross multiply
    12,908x = 19,368.48 × 5,984.48
  4. Step 4: Simplify right side
    12,908x = 115,910,281.19
  5. Step 5: Solve for x
    x = 115,910,281.19/12,908
  6. Step 6: Final answer
    x = 8,979.72

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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.