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Finding the Fourth Proportional to 19,987.70, 29,975.48 and 8,298.19

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Solution

The fourth proportional to 19,987.70, 29,975.48 and 8,298.19 is: 12,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,987.70 : 29,975.48 = 8,298.19 : x
  2. Step 2: Convert to fraction form
    19,987.70/29,975.48 = 8,298.19/x
  3. Step 3: Cross multiply
    19,987.70x = 29,975.48 × 8,298.19
  4. Step 4: Simplify right side
    19,987.70x = 248,742,111.95
  5. Step 5: Solve for x
    x = 248,742,111.95/19,987.70
  6. Step 6: Final answer
    x = 12,444.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.