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Finding the Fourth Proportional to 35,984.74, 49,658.22 and 20,878.78

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Solution

The fourth proportional to 35,984.74, 49,658.22 and 20,878.78 is: 28,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.74 : 49,658.22 = 20,878.78 : x
  2. Step 2: Convert to fraction form
    35,984.74/49,658.22 = 20,878.78/x
  3. Step 3: Cross multiply
    35,984.74x = 49,658.22 × 20,878.78
  4. Step 4: Simplify right side
    35,984.74x = 1,036,803,050.57
  5. Step 5: Solve for x
    x = 1,036,803,050.57/35,984.74
  6. Step 6: Final answer
    x = 28,812.30

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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.