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Finding the Fourth Proportional to 30,607.16, 45,905.42 and 8,415.25

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Solution

The fourth proportional to 30,607.16, 45,905.42 and 8,415.25 is: 12,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,607.16 : 45,905.42 = 8,415.25 : x
  2. Step 2: Convert to fraction form
    30,607.16/45,905.42 = 8,415.25/x
  3. Step 3: Cross multiply
    30,607.16x = 45,905.42 × 8,415.25
  4. Step 4: Simplify right side
    30,607.16x = 386,305,491.93
  5. Step 5: Solve for x
    x = 386,305,491.93/30,607.16
  6. Step 6: Final answer
    x = 12,621.41

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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.