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Finding the Fourth Proportional to 12,702.40, 17,526.48 and 9,721.60

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Solution

The fourth proportional to 12,702.40, 17,526.48 and 9,721.60 is: 13,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.40 : 17,526.48 = 9,721.60 : x
  2. Step 2: Convert to fraction form
    12,702.40/17,526.48 = 9,721.60/x
  3. Step 3: Cross multiply
    12,702.40x = 17,526.48 × 9,721.60
  4. Step 4: Simplify right side
    12,702.40x = 170,385,427.97
  5. Step 5: Solve for x
    x = 170,385,427.97/12,702.40
  6. Step 6: Final answer
    x = 13,413.64

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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.