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Finding the Fourth Proportional to 12,970.38, 17,899.23 and 7,381.74

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Solution

The fourth proportional to 12,970.38, 17,899.23 and 7,381.74 is: 10,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.38 : 17,899.23 = 7,381.74 : x
  2. Step 2: Convert to fraction form
    12,970.38/17,899.23 = 7,381.74/x
  3. Step 3: Cross multiply
    12,970.38x = 17,899.23 × 7,381.74
  4. Step 4: Simplify right side
    12,970.38x = 132,127,462.06
  5. Step 5: Solve for x
    x = 132,127,462.06/12,970.38
  6. Step 6: Final answer
    x = 10,186.86

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1.5x scale

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.