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Finding the Fourth Proportional to 2,646.76, 3,652.68 and 1,807.60

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Solution

The fourth proportional to 2,646.76, 3,652.68 and 1,807.60 is: 2,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.76 : 3,652.68 = 1,807.60 : x
  2. Step 2: Convert to fraction form
    2,646.76/3,652.68 = 1,807.60/x
  3. Step 3: Cross multiply
    2,646.76x = 3,652.68 × 1,807.60
  4. Step 4: Simplify right side
    2,646.76x = 6,602,584.37
  5. Step 5: Solve for x
    x = 6,602,584.37/2,646.76
  6. Step 6: Final answer
    x = 2,494.59

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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.