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Finding the Fourth Proportional to 12,890, 17,788.08 and 7,301

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Solution

The fourth proportional to 12,890, 17,788.08 and 7,301 is: 10,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890 : 17,788.08 = 7,301 : x
  2. Step 2: Convert to fraction form
    12,890/17,788.08 = 7,301/x
  3. Step 3: Cross multiply
    12,890x = 17,788.08 × 7,301
  4. Step 4: Simplify right side
    12,890x = 129,870,772.08
  5. Step 5: Solve for x
    x = 129,870,772.08/12,890
  6. Step 6: Final answer
    x = 10,075.31

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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.