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Finding the Fourth Proportional to 3,646.91, 5,472.48 and 1,538.40

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Solution

The fourth proportional to 3,646.91, 5,472.48 and 1,538.40 is: 2,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.91 : 5,472.48 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    3,646.91/5,472.48 = 1,538.40/x
  3. Step 3: Cross multiply
    3,646.91x = 5,472.48 × 1,538.40
  4. Step 4: Simplify right side
    3,646.91x = 8,418,888.02
  5. Step 5: Solve for x
    x = 8,418,888.02/3,646.91
  6. Step 6: Final answer
    x = 2,308.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.