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Finding the Fourth Proportional to 30,532.80, 45,798 and 10,810.56

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Solution

The fourth proportional to 30,532.80, 45,798 and 10,810.56 is: 16,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.80 : 45,798 = 10,810.56 : x
  2. Step 2: Convert to fraction form
    30,532.80/45,798 = 10,810.56/x
  3. Step 3: Cross multiply
    30,532.80x = 45,798 × 10,810.56
  4. Step 4: Simplify right side
    30,532.80x = 495,102,026.88
  5. Step 5: Solve for x
    x = 495,102,026.88/30,532.80
  6. Step 6: Final answer
    x = 16,215.42

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1.5x scale

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.