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Finding the Fourth Proportional to 28,507.55, 42,750.38 and 9,784.09

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Solution

The fourth proportional to 28,507.55, 42,750.38 and 9,784.09 is: 14,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,507.55 : 42,750.38 = 9,784.09 : x
  2. Step 2: Convert to fraction form
    28,507.55/42,750.38 = 9,784.09/x
  3. Step 3: Cross multiply
    28,507.55x = 42,750.38 × 9,784.09
  4. Step 4: Simplify right side
    28,507.55x = 418,273,643.35
  5. Step 5: Solve for x
    x = 418,273,643.35/28,507.55
  6. Step 6: Final answer
    x = 14,672.38

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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.