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Finding the Fourth Proportional to 28,123.12, 42,184.68 and 7,345

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Solution

The fourth proportional to 28,123.12, 42,184.68 and 7,345 is: 11,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,123.12 : 42,184.68 = 7,345 : x
  2. Step 2: Convert to fraction form
    28,123.12/42,184.68 = 7,345/x
  3. Step 3: Cross multiply
    28,123.12x = 42,184.68 × 7,345
  4. Step 4: Simplify right side
    28,123.12x = 309,846,474.60
  5. Step 5: Solve for x
    x = 309,846,474.60/28,123.12
  6. Step 6: Final answer
    x = 11,017.50

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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.