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Finding the Fourth Proportional to 30,499.88, 45,742.05 and 8,312.09

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Solution

The fourth proportional to 30,499.88, 45,742.05 and 8,312.09 is: 12,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.88 : 45,742.05 = 8,312.09 : x
  2. Step 2: Convert to fraction form
    30,499.88/45,742.05 = 8,312.09/x
  3. Step 3: Cross multiply
    30,499.88x = 45,742.05 × 8,312.09
  4. Step 4: Simplify right side
    30,499.88x = 380,211,807.67
  5. Step 5: Solve for x
    x = 380,211,807.67/30,499.88
  6. Step 6: Final answer
    x = 12,466.01

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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.