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Finding the Fourth Proportional to 30,388.04, 45,586.88 and 12,858

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Solution

The fourth proportional to 30,388.04, 45,586.88 and 12,858 is: 19,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,388.04 : 45,586.88 = 12,858 : x
  2. Step 2: Convert to fraction form
    30,388.04/45,586.88 = 12,858/x
  3. Step 3: Cross multiply
    30,388.04x = 45,586.88 × 12,858
  4. Step 4: Simplify right side
    30,388.04x = 586,156,103.04
  5. Step 5: Solve for x
    x = 586,156,103.04/30,388.04
  6. Step 6: Final answer
    x = 19,289.04

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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.