Home / 2,646.43-3,970.16-1,538.24

Finding the Fourth Proportional to 2,646.43, 3,970.16 and 1,538.24

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Solution

The fourth proportional to 2,646.43, 3,970.16 and 1,538.24 is: 2,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.43 : 3,970.16 = 1,538.24 : x
  2. Step 2: Convert to fraction form
    2,646.43/3,970.16 = 1,538.24/x
  3. Step 3: Cross multiply
    2,646.43x = 3,970.16 × 1,538.24
  4. Step 4: Simplify right side
    2,646.43x = 6,107,031.38
  5. Step 5: Solve for x
    x = 6,107,031.38/2,646.43
  6. Step 6: Final answer
    x = 2,307.65

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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.