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Finding the Fourth Proportional to 1,684.80, 2,505.60 and 1,555.20

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Solution

The fourth proportional to 1,684.80, 2,505.60 and 1,555.20 is: 2,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.80 : 2,505.60 = 1,555.20 : x
  2. Step 2: Convert to fraction form
    1,684.80/2,505.60 = 1,555.20/x
  3. Step 3: Cross multiply
    1,684.80x = 2,505.60 × 1,555.20
  4. Step 4: Simplify right side
    1,684.80x = 3,896,709.12
  5. Step 5: Solve for x
    x = 3,896,709.12/1,684.80
  6. Step 6: Final answer
    x = 2,312.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.