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Finding the Fourth Proportional to 2,970.81, 4,099.80 and 1,644.63

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Solution

The fourth proportional to 2,970.81, 4,099.80 and 1,644.63 is: 2,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.81 : 4,099.80 = 1,644.63 : x
  2. Step 2: Convert to fraction form
    2,970.81/4,099.80 = 1,644.63/x
  3. Step 3: Cross multiply
    2,970.81x = 4,099.80 × 1,644.63
  4. Step 4: Simplify right side
    2,970.81x = 6,742,654.07
  5. Step 5: Solve for x
    x = 6,742,654.07/2,970.81
  6. Step 6: Final answer
    x = 2,269.63

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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.