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Finding the Fourth Proportional to 12,897.40, 17,802.20 and 8,421.82

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Solution

The fourth proportional to 12,897.40, 17,802.20 and 8,421.82 is: 11,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.40 : 17,802.20 = 8,421.82 : x
  2. Step 2: Convert to fraction form
    12,897.40/17,802.20 = 8,421.82/x
  3. Step 3: Cross multiply
    12,897.40x = 17,802.20 × 8,421.82
  4. Step 4: Simplify right side
    12,897.40x = 149,926,924.00
  5. Step 5: Solve for x
    x = 149,926,924.00/12,897.40
  6. Step 6: Final answer
    x = 11,624.59

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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.