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Finding the Fourth Proportional to 13,702.37, 18,902.88 and 8,674.02

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Solution

The fourth proportional to 13,702.37, 18,902.88 and 8,674.02 is: 11,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.37 : 18,902.88 = 8,674.02 : x
  2. Step 2: Convert to fraction form
    13,702.37/18,902.88 = 8,674.02/x
  3. Step 3: Cross multiply
    13,702.37x = 18,902.88 × 8,674.02
  4. Step 4: Simplify right side
    13,702.37x = 163,963,959.18
  5. Step 5: Solve for x
    x = 163,963,959.18/13,702.37
  6. Step 6: Final answer
    x = 11,966.11

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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.