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Finding the Fourth Proportional to 12,570, 17,346 and 7,537.02

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Solution

The fourth proportional to 12,570, 17,346 and 7,537.02 is: 10,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570 : 17,346 = 7,537.02 : x
  2. Step 2: Convert to fraction form
    12,570/17,346 = 7,537.02/x
  3. Step 3: Cross multiply
    12,570x = 17,346 × 7,537.02
  4. Step 4: Simplify right side
    12,570x = 130,737,148.92
  5. Step 5: Solve for x
    x = 130,737,148.92/12,570
  6. Step 6: Final answer
    x = 10,400.73

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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.