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Finding the Fourth Proportional to 13,670.17, 18,863.48 and 7,702.90

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Solution

The fourth proportional to 13,670.17, 18,863.48 and 7,702.90 is: 10,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.17 : 18,863.48 = 7,702.90 : x
  2. Step 2: Convert to fraction form
    13,670.17/18,863.48 = 7,702.90/x
  3. Step 3: Cross multiply
    13,670.17x = 18,863.48 × 7,702.90
  4. Step 4: Simplify right side
    13,670.17x = 145,303,472.19
  5. Step 5: Solve for x
    x = 145,303,472.19/13,670.17
  6. Step 6: Final answer
    x = 10,629.24

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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.