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Finding the Fourth Proportional to 30,471.84, 45,714.72 and 12,942.24

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Solution

The fourth proportional to 30,471.84, 45,714.72 and 12,942.24 is: 19,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.84 : 45,714.72 = 12,942.24 : x
  2. Step 2: Convert to fraction form
    30,471.84/45,714.72 = 12,942.24/x
  3. Step 3: Cross multiply
    30,471.84x = 45,714.72 × 12,942.24
  4. Step 4: Simplify right side
    30,471.84x = 591,650,877.77
  5. Step 5: Solve for x
    x = 591,650,877.77/30,471.84
  6. Step 6: Final answer
    x = 19,416.32

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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.