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Finding the Fourth Proportional to 30,916.79, 42,653.00 and 20,174.24

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Solution

The fourth proportional to 30,916.79, 42,653.00 and 20,174.24 is: 27,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.79 : 42,653.00 = 20,174.24 : x
  2. Step 2: Convert to fraction form
    30,916.79/42,653.00 = 20,174.24/x
  3. Step 3: Cross multiply
    30,916.79x = 42,653.00 × 20,174.24
  4. Step 4: Simplify right side
    30,916.79x = 860,491,544.58
  5. Step 5: Solve for x
    x = 860,491,544.58/30,916.79
  6. Step 6: Final answer
    x = 27,832.50

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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.