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Finding the Fourth Proportional to 1,662.60, 2,428.26 and 1,662.60

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Solution

The fourth proportional to 1,662.60, 2,428.26 and 1,662.60 is: 2,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.60 : 2,428.26 = 1,662.60 : x
  2. Step 2: Convert to fraction form
    1,662.60/2,428.26 = 1,662.60/x
  3. Step 3: Cross multiply
    1,662.60x = 2,428.26 × 1,662.60
  4. Step 4: Simplify right side
    1,662.60x = 4,037,225.08
  5. Step 5: Solve for x
    x = 4,037,225.08/1,662.60
  6. Step 6: Final answer
    x = 2,428.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.