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Finding the Fourth Proportional to 5,118.58, 7,678.02 and 1,421.08

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Solution

The fourth proportional to 5,118.58, 7,678.02 and 1,421.08 is: 2,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.58 : 7,678.02 = 1,421.08 : x
  2. Step 2: Convert to fraction form
    5,118.58/7,678.02 = 1,421.08/x
  3. Step 3: Cross multiply
    5,118.58x = 7,678.02 × 1,421.08
  4. Step 4: Simplify right side
    5,118.58x = 10,911,073.56
  5. Step 5: Solve for x
    x = 10,911,073.56/5,118.58
  6. Step 6: Final answer
    x = 2,131.66

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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.