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Finding the Fourth Proportional to 28,493.10, 42,742.08 and 7,435.94

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Solution

The fourth proportional to 28,493.10, 42,742.08 and 7,435.94 is: 11,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,493.10 : 42,742.08 = 7,435.94 : x
  2. Step 2: Convert to fraction form
    28,493.10/42,742.08 = 7,435.94/x
  3. Step 3: Cross multiply
    28,493.10x = 42,742.08 × 7,435.94
  4. Step 4: Simplify right side
    28,493.10x = 317,827,328.64
  5. Step 5: Solve for x
    x = 317,827,328.64/28,493.10
  6. Step 6: Final answer
    x = 11,154.54

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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.