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Finding the Fourth Proportional to 14,357.56, 19,814.31 and 7,984.21

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Solution

The fourth proportional to 14,357.56, 19,814.31 and 7,984.21 is: 11,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.56 : 19,814.31 = 7,984.21 : x
  2. Step 2: Convert to fraction form
    14,357.56/19,814.31 = 7,984.21/x
  3. Step 3: Cross multiply
    14,357.56x = 19,814.31 × 7,984.21
  4. Step 4: Simplify right side
    14,357.56x = 158,201,612.05
  5. Step 5: Solve for x
    x = 158,201,612.05/14,357.56
  6. Step 6: Final answer
    x = 11,018.70

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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.