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Finding the Fourth Proportional to 30,607.51, 45,905.22 and 8,415.16

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Solution

The fourth proportional to 30,607.51, 45,905.22 and 8,415.16 is: 12,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,607.51 : 45,905.22 = 8,415.16 : x
  2. Step 2: Convert to fraction form
    30,607.51/45,905.22 = 8,415.16/x
  3. Step 3: Cross multiply
    30,607.51x = 45,905.22 × 8,415.16
  4. Step 4: Simplify right side
    30,607.51x = 386,299,771.14
  5. Step 5: Solve for x
    x = 386,299,771.14/30,607.51
  6. Step 6: Final answer
    x = 12,621.08

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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.