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Finding the Fourth Proportional to 30,603.35, 45,899.75 and 8,114.19

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Solution

The fourth proportional to 30,603.35, 45,899.75 and 8,114.19 is: 12,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.35 : 45,899.75 = 8,114.19 : x
  2. Step 2: Convert to fraction form
    30,603.35/45,899.75 = 8,114.19/x
  3. Step 3: Cross multiply
    30,603.35x = 45,899.75 × 8,114.19
  4. Step 4: Simplify right side
    30,603.35x = 372,439,312.74
  5. Step 5: Solve for x
    x = 372,439,312.74/30,603.35
  6. Step 6: Final answer
    x = 12,169.89

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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.