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Finding the Fourth Proportional to 12,937, 17,853.06 and 7,348

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Solution

The fourth proportional to 12,937, 17,853.06 and 7,348 is: 10,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937 : 17,853.06 = 7,348 : x
  2. Step 2: Convert to fraction form
    12,937/17,853.06 = 7,348/x
  3. Step 3: Cross multiply
    12,937x = 17,853.06 × 7,348
  4. Step 4: Simplify right side
    12,937x = 131,184,284.88
  5. Step 5: Solve for x
    x = 131,184,284.88/12,937
  6. Step 6: Final answer
    x = 10,140.24

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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.