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Finding the Fourth Proportional to 3,655.71, 5,047.65 and 3,648.42

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Solution

The fourth proportional to 3,655.71, 5,047.65 and 3,648.42 is: 5,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.71 : 5,047.65 = 3,648.42 : x
  2. Step 2: Convert to fraction form
    3,655.71/5,047.65 = 3,648.42/x
  3. Step 3: Cross multiply
    3,655.71x = 5,047.65 × 3,648.42
  4. Step 4: Simplify right side
    3,655.71x = 18,415,947.21
  5. Step 5: Solve for x
    x = 18,415,947.21/3,655.71
  6. Step 6: Final answer
    x = 5,037.58

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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.