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Finding the Fourth Proportional to 28,205.64, 42,308.46 and 9,737.64

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Solution

The fourth proportional to 28,205.64, 42,308.46 and 9,737.64 is: 14,606.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.64 : 42,308.46 = 9,737.64 : x
  2. Step 2: Convert to fraction form
    28,205.64/42,308.46 = 9,737.64/x
  3. Step 3: Cross multiply
    28,205.64x = 42,308.46 × 9,737.64
  4. Step 4: Simplify right side
    28,205.64x = 411,984,552.43
  5. Step 5: Solve for x
    x = 411,984,552.43/28,205.64
  6. Step 6: Final answer
    x = 14,606.46

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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.