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Finding the Fourth Proportional to 12,908, 17,813.04 and 7,319

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Solution

The fourth proportional to 12,908, 17,813.04 and 7,319 is: 10,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908 : 17,813.04 = 7,319 : x
  2. Step 2: Convert to fraction form
    12,908/17,813.04 = 7,319/x
  3. Step 3: Cross multiply
    12,908x = 17,813.04 × 7,319
  4. Step 4: Simplify right side
    12,908x = 130,373,639.76
  5. Step 5: Solve for x
    x = 130,373,639.76/12,908
  6. Step 6: Final answer
    x = 10,100.22

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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.