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Finding the Fourth Proportional to 14,475.69, 19,978.74 and 8,508.81

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Solution

The fourth proportional to 14,475.69, 19,978.74 and 8,508.81 is: 11,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.69 : 19,978.74 = 8,508.81 : x
  2. Step 2: Convert to fraction form
    14,475.69/19,978.74 = 8,508.81/x
  3. Step 3: Cross multiply
    14,475.69x = 19,978.74 × 8,508.81
  4. Step 4: Simplify right side
    14,475.69x = 169,995,302.70
  5. Step 5: Solve for x
    x = 169,995,302.70/14,475.69
  6. Step 6: Final answer
    x = 11,743.50

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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.