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Finding the Fourth Proportional to 28,504.42, 42,757.50 and 9,784.20

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Solution

The fourth proportional to 28,504.42, 42,757.50 and 9,784.20 is: 14,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,504.42 : 42,757.50 = 9,784.20 : x
  2. Step 2: Convert to fraction form
    28,504.42/42,757.50 = 9,784.20/x
  3. Step 3: Cross multiply
    28,504.42x = 42,757.50 × 9,784.20
  4. Step 4: Simplify right side
    28,504.42x = 418,347,931.50
  5. Step 5: Solve for x
    x = 418,347,931.50/28,504.42
  6. Step 6: Final answer
    x = 14,676.60

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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.