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Finding the Fourth Proportional to 2,421.63, 3,632.85 and 778.02

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Solution

The fourth proportional to 2,421.63, 3,632.85 and 778.02 is: 1,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.63 : 3,632.85 = 778.02 : x
  2. Step 2: Convert to fraction form
    2,421.63/3,632.85 = 778.02/x
  3. Step 3: Cross multiply
    2,421.63x = 3,632.85 × 778.02
  4. Step 4: Simplify right side
    2,421.63x = 2,826,429.96
  5. Step 5: Solve for x
    x = 2,826,429.96/2,421.63
  6. Step 6: Final answer
    x = 1,167.16

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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.