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Finding the Fourth Proportional to 14,291.25, 19,721.93 and 8,702.25

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Solution

The fourth proportional to 14,291.25, 19,721.93 and 8,702.25 is: 12,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.25 : 19,721.93 = 8,702.25 : x
  2. Step 2: Convert to fraction form
    14,291.25/19,721.93 = 8,702.25/x
  3. Step 3: Cross multiply
    14,291.25x = 19,721.93 × 8,702.25
  4. Step 4: Simplify right side
    14,291.25x = 171,625,121.83
  5. Step 5: Solve for x
    x = 171,625,121.83/14,291.25
  6. Step 6: Final answer
    x = 12,009.11

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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.