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Finding the Fourth Proportional to 14,421.98, 19,897.01 and 8,451.47

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Solution

The fourth proportional to 14,421.98, 19,897.01 and 8,451.47 is: 11,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.98 : 19,897.01 = 8,451.47 : x
  2. Step 2: Convert to fraction form
    14,421.98/19,897.01 = 8,451.47/x
  3. Step 3: Cross multiply
    14,421.98x = 19,897.01 × 8,451.47
  4. Step 4: Simplify right side
    14,421.98x = 168,158,841.36
  5. Step 5: Solve for x
    x = 168,158,841.36/14,421.98
  6. Step 6: Final answer
    x = 11,659.90

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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.