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Finding the Fourth Proportional to 28,152, 42,197.52 and 18,298.32

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Solution

The fourth proportional to 28,152, 42,197.52 and 18,298.32 is: 27,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,152 : 42,197.52 = 18,298.32 : x
  2. Step 2: Convert to fraction form
    28,152/42,197.52 = 18,298.32/x
  3. Step 3: Cross multiply
    28,152x = 42,197.52 × 18,298.32
  4. Step 4: Simplify right side
    28,152x = 772,143,724.17
  5. Step 5: Solve for x
    x = 772,143,724.17/28,152
  6. Step 6: Final answer
    x = 27,427.67

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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.