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Finding the Fourth Proportional to 30,648.96, 45,969.98 and 8,465.49

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Solution

The fourth proportional to 30,648.96, 45,969.98 and 8,465.49 is: 12,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.96 : 45,969.98 = 8,465.49 : x
  2. Step 2: Convert to fraction form
    30,648.96/45,969.98 = 8,465.49/x
  3. Step 3: Cross multiply
    30,648.96x = 45,969.98 × 8,465.49
  4. Step 4: Simplify right side
    30,648.96x = 389,158,363.66
  5. Step 5: Solve for x
    x = 389,158,363.66/30,648.96
  6. Step 6: Final answer
    x = 12,697.28

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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.