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Finding the Fourth Proportional to 3,970.76, 5,480.71 and 2,477.77

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Solution

The fourth proportional to 3,970.76, 5,480.71 and 2,477.77 is: 3,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.76 : 5,480.71 = 2,477.77 : x
  2. Step 2: Convert to fraction form
    3,970.76/5,480.71 = 2,477.77/x
  3. Step 3: Cross multiply
    3,970.76x = 5,480.71 × 2,477.77
  4. Step 4: Simplify right side
    3,970.76x = 13,579,963.69
  5. Step 5: Solve for x
    x = 13,579,963.69/3,970.76
  6. Step 6: Final answer
    x = 3,420.00

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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.