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Finding the Fourth Proportional to 4,477.78, 6,719.56 and 1,880.72

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Solution

The fourth proportional to 4,477.78, 6,719.56 and 1,880.72 is: 2,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.78 : 6,719.56 = 1,880.72 : x
  2. Step 2: Convert to fraction form
    4,477.78/6,719.56 = 1,880.72/x
  3. Step 3: Cross multiply
    4,477.78x = 6,719.56 × 1,880.72
  4. Step 4: Simplify right side
    4,477.78x = 12,637,597.78
  5. Step 5: Solve for x
    x = 12,637,597.78/4,477.78
  6. Step 6: Final answer
    x = 2,822.29

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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.