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Finding the Fourth Proportional to 3,670.88, 5,064.80 and 2,477.56

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Solution

The fourth proportional to 3,670.88, 5,064.80 and 2,477.56 is: 3,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.88 : 5,064.80 = 2,477.56 : x
  2. Step 2: Convert to fraction form
    3,670.88/5,064.80 = 2,477.56/x
  3. Step 3: Cross multiply
    3,670.88x = 5,064.80 × 2,477.56
  4. Step 4: Simplify right side
    3,670.88x = 12,548,345.89
  5. Step 5: Solve for x
    x = 12,548,345.89/3,670.88
  6. Step 6: Final answer
    x = 3,418.35

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1.5x scale

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.