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Finding the Fourth Proportional to 14,412.70, 19,889.12 and 8,039.48

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Solution

The fourth proportional to 14,412.70, 19,889.12 and 8,039.48 is: 11,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.70 : 19,889.12 = 8,039.48 : x
  2. Step 2: Convert to fraction form
    14,412.70/19,889.12 = 8,039.48/x
  3. Step 3: Cross multiply
    14,412.70x = 19,889.12 × 8,039.48
  4. Step 4: Simplify right side
    14,412.70x = 159,898,182.46
  5. Step 5: Solve for x
    x = 159,898,182.46/14,412.70
  6. Step 6: Final answer
    x = 11,094.26

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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.