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Finding the Fourth Proportional to 12,897.74, 17,802.05 and 7,864.73

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Solution

The fourth proportional to 12,897.74, 17,802.05 and 7,864.73 is: 10,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.74 : 17,802.05 = 7,864.73 : x
  2. Step 2: Convert to fraction form
    12,897.74/17,802.05 = 7,864.73/x
  3. Step 3: Cross multiply
    12,897.74x = 17,802.05 × 7,864.73
  4. Step 4: Simplify right side
    12,897.74x = 140,008,316.70
  5. Step 5: Solve for x
    x = 140,008,316.70/12,897.74
  6. Step 6: Final answer
    x = 10,855.26

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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.