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Finding the Fourth Proportional to 37,408, 51,624.16 and 20,642.08

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Solution

The fourth proportional to 37,408, 51,624.16 and 20,642.08 is: 28,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,408 : 51,624.16 = 20,642.08 : x
  2. Step 2: Convert to fraction form
    37,408/51,624.16 = 20,642.08/x
  3. Step 3: Cross multiply
    37,408x = 51,624.16 × 20,642.08
  4. Step 4: Simplify right side
    37,408x = 1,065,630,040.65
  5. Step 5: Solve for x
    x = 1,065,630,040.65/37,408
  6. Step 6: Final answer
    x = 28,486.69

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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.