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Finding the Fourth Proportional to 30,642.50, 45,963.86 and 8,455.39

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Solution

The fourth proportional to 30,642.50, 45,963.86 and 8,455.39 is: 12,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.50 : 45,963.86 = 8,455.39 : x
  2. Step 2: Convert to fraction form
    30,642.50/45,963.86 = 8,455.39/x
  3. Step 3: Cross multiply
    30,642.50x = 45,963.86 × 8,455.39
  4. Step 4: Simplify right side
    30,642.50x = 388,642,205.02
  5. Step 5: Solve for x
    x = 388,642,205.02/30,642.50
  6. Step 6: Final answer
    x = 12,683.11

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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.