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Finding the Fourth Proportional to 13,698.89, 20,449.19 and 12,038.12

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Solution

The fourth proportional to 13,698.89, 20,449.19 and 12,038.12 is: 17,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.89 : 20,449.19 = 12,038.12 : x
  2. Step 2: Convert to fraction form
    13,698.89/20,449.19 = 12,038.12/x
  3. Step 3: Cross multiply
    13,698.89x = 20,449.19 × 12,038.12
  4. Step 4: Simplify right side
    13,698.89x = 246,169,807.66
  5. Step 5: Solve for x
    x = 246,169,807.66/13,698.89
  6. Step 6: Final answer
    x = 17,970.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.