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Finding the Fourth Proportional to 2,421, 3,633.12 and 1,776.24

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Solution

The fourth proportional to 2,421, 3,633.12 and 1,776.24 is: 2,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421 : 3,633.12 = 1,776.24 : x
  2. Step 2: Convert to fraction form
    2,421/3,633.12 = 1,776.24/x
  3. Step 3: Cross multiply
    2,421x = 3,633.12 × 1,776.24
  4. Step 4: Simplify right side
    2,421x = 6,453,293.07
  5. Step 5: Solve for x
    x = 6,453,293.07/2,421
  6. Step 6: Final answer
    x = 2,665.55

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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.