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Finding the Fourth Proportional to 35,977.68, 49,646.88 and 20,870.88

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Solution

The fourth proportional to 35,977.68, 49,646.88 and 20,870.88 is: 28,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,977.68 : 49,646.88 = 20,870.88 : x
  2. Step 2: Convert to fraction form
    35,977.68/49,646.88 = 20,870.88/x
  3. Step 3: Cross multiply
    35,977.68x = 49,646.88 × 20,870.88
  4. Step 4: Simplify right side
    35,977.68x = 1,036,174,074.85
  5. Step 5: Solve for x
    x = 1,036,174,074.85/35,977.68
  6. Step 6: Final answer
    x = 28,800.47

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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.