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Finding the Fourth Proportional to 2,011.64, 2,775.47 and 1,539.41

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Solution

The fourth proportional to 2,011.64, 2,775.47 and 1,539.41 is: 2,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.64 : 2,775.47 = 1,539.41 : x
  2. Step 2: Convert to fraction form
    2,011.64/2,775.47 = 1,539.41/x
  3. Step 3: Cross multiply
    2,011.64x = 2,775.47 × 1,539.41
  4. Step 4: Simplify right side
    2,011.64x = 4,272,564.70
  5. Step 5: Solve for x
    x = 4,272,564.70/2,011.64
  6. Step 6: Final answer
    x = 2,123.93

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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.