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Finding the Fourth Proportional to 13,978.17, 19,290.51 and 8,674.70

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Solution

The fourth proportional to 13,978.17, 19,290.51 and 8,674.70 is: 11,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.17 : 19,290.51 = 8,674.70 : x
  2. Step 2: Convert to fraction form
    13,978.17/19,290.51 = 8,674.70/x
  3. Step 3: Cross multiply
    13,978.17x = 19,290.51 × 8,674.70
  4. Step 4: Simplify right side
    13,978.17x = 167,339,290.64
  5. Step 5: Solve for x
    x = 167,339,290.64/13,978.17
  6. Step 6: Final answer
    x = 11,971.47

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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.