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Finding the Fourth Proportional to 13,987.82, 19,303.80 and 8,020.06

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Solution

The fourth proportional to 13,987.82, 19,303.80 and 8,020.06 is: 11,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.82 : 19,303.80 = 8,020.06 : x
  2. Step 2: Convert to fraction form
    13,987.82/19,303.80 = 8,020.06/x
  3. Step 3: Cross multiply
    13,987.82x = 19,303.80 × 8,020.06
  4. Step 4: Simplify right side
    13,987.82x = 154,817,634.23
  5. Step 5: Solve for x
    x = 154,817,634.23/13,987.82
  6. Step 6: Final answer
    x = 11,068.03

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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.