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Finding the Fourth Proportional to 30,656.44, 45,983.74 and 8,471.14

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Solution

The fourth proportional to 30,656.44, 45,983.74 and 8,471.14 is: 12,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.44 : 45,983.74 = 8,471.14 : x
  2. Step 2: Convert to fraction form
    30,656.44/45,983.74 = 8,471.14/x
  3. Step 3: Cross multiply
    30,656.44x = 45,983.74 × 8,471.14
  4. Step 4: Simplify right side
    30,656.44x = 389,534,699.26
  5. Step 5: Solve for x
    x = 389,534,699.26/30,656.44
  6. Step 6: Final answer
    x = 12,706.46

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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.