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Finding the Fourth Proportional to 13,782.32, 19,020 and 8,480.24

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Solution

The fourth proportional to 13,782.32, 19,020 and 8,480.24 is: 11,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.32 : 19,020 = 8,480.24 : x
  2. Step 2: Convert to fraction form
    13,782.32/19,020 = 8,480.24/x
  3. Step 3: Cross multiply
    13,782.32x = 19,020 × 8,480.24
  4. Step 4: Simplify right side
    13,782.32x = 161,294,164.80
  5. Step 5: Solve for x
    x = 161,294,164.80/13,782.32
  6. Step 6: Final answer
    x = 11,702.98

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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.