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Finding the Fourth Proportional to 12,897.44, 17,802.36 and 8,413.28

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Solution

The fourth proportional to 12,897.44, 17,802.36 and 8,413.28 is: 11,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.44 : 17,802.36 = 8,413.28 : x
  2. Step 2: Convert to fraction form
    12,897.44/17,802.36 = 8,413.28/x
  3. Step 3: Cross multiply
    12,897.44x = 17,802.36 × 8,413.28
  4. Step 4: Simplify right side
    12,897.44x = 149,776,239.34
  5. Step 5: Solve for x
    x = 149,776,239.34/12,897.44
  6. Step 6: Final answer
    x = 11,612.87

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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.