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Finding the Fourth Proportional to 30,762.78, 42,446.07 and 19,586.94

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Solution

The fourth proportional to 30,762.78, 42,446.07 and 19,586.94 is: 27,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.78 : 42,446.07 = 19,586.94 : x
  2. Step 2: Convert to fraction form
    30,762.78/42,446.07 = 19,586.94/x
  3. Step 3: Cross multiply
    30,762.78x = 42,446.07 × 19,586.94
  4. Step 4: Simplify right side
    30,762.78x = 831,388,626.33
  5. Step 5: Solve for x
    x = 831,388,626.33/30,762.78
  6. Step 6: Final answer
    x = 27,025.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.