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Finding the Fourth Proportional to 2,416.78, 3,623.40 and 772.38

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Solution

The fourth proportional to 2,416.78, 3,623.40 and 772.38 is: 1,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.78 : 3,623.40 = 772.38 : x
  2. Step 2: Convert to fraction form
    2,416.78/3,623.40 = 772.38/x
  3. Step 3: Cross multiply
    2,416.78x = 3,623.40 × 772.38
  4. Step 4: Simplify right side
    2,416.78x = 2,798,641.69
  5. Step 5: Solve for x
    x = 2,798,641.69/2,416.78
  6. Step 6: Final answer
    x = 1,158.00

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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.