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Finding the Fourth Proportional to 14,115, 19,480.30 and 8,148.26

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Solution

The fourth proportional to 14,115, 19,480.30 and 8,148.26 is: 11,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115 : 19,480.30 = 8,148.26 : x
  2. Step 2: Convert to fraction form
    14,115/19,480.30 = 8,148.26/x
  3. Step 3: Cross multiply
    14,115x = 19,480.30 × 8,148.26
  4. Step 4: Simplify right side
    14,115x = 158,730,549.28
  5. Step 5: Solve for x
    x = 158,730,549.28/14,115
  6. Step 6: Final answer
    x = 11,245.52

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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.