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Finding the Fourth Proportional to 30,420.54, 45,631.13 and 10,698.98

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Solution

The fourth proportional to 30,420.54, 45,631.13 and 10,698.98 is: 16,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,420.54 : 45,631.13 = 10,698.98 : x
  2. Step 2: Convert to fraction form
    30,420.54/45,631.13 = 10,698.98/x
  3. Step 3: Cross multiply
    30,420.54x = 45,631.13 × 10,698.98
  4. Step 4: Simplify right side
    30,420.54x = 488,206,265.60
  5. Step 5: Solve for x
    x = 488,206,265.60/30,420.54
  6. Step 6: Final answer
    x = 16,048.57

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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.