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Finding the Fourth Proportional to 30,825.90, 42,541.02 and 19,491.30

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Solution

The fourth proportional to 30,825.90, 42,541.02 and 19,491.30 is: 26,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.90 : 42,541.02 = 19,491.30 : x
  2. Step 2: Convert to fraction form
    30,825.90/42,541.02 = 19,491.30/x
  3. Step 3: Cross multiply
    30,825.90x = 42,541.02 × 19,491.30
  4. Step 4: Simplify right side
    30,825.90x = 829,179,783.13
  5. Step 5: Solve for x
    x = 829,179,783.13/30,825.90
  6. Step 6: Final answer
    x = 26,898.80

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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.