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Finding the Fourth Proportional to 1,644.60, 2,510.19 and 1,644.60

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Solution

The fourth proportional to 1,644.60, 2,510.19 and 1,644.60 is: 2,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.60 : 2,510.19 = 1,644.60 : x
  2. Step 2: Convert to fraction form
    1,644.60/2,510.19 = 1,644.60/x
  3. Step 3: Cross multiply
    1,644.60x = 2,510.19 × 1,644.60
  4. Step 4: Simplify right side
    1,644.60x = 4,128,258.47
  5. Step 5: Solve for x
    x = 4,128,258.47/1,644.60
  6. Step 6: Final answer
    x = 2,510.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.