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Finding the Fourth Proportional to 30,000.10, 45,000.14 and 7,813.40

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Solution

The fourth proportional to 30,000.10, 45,000.14 and 7,813.40 is: 11,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.10 : 45,000.14 = 7,813.40 : x
  2. Step 2: Convert to fraction form
    30,000.10/45,000.14 = 7,813.40/x
  3. Step 3: Cross multiply
    30,000.10x = 45,000.14 × 7,813.40
  4. Step 4: Simplify right side
    30,000.10x = 351,604,093.88
  5. Step 5: Solve for x
    x = 351,604,093.88/30,000.10
  6. Step 6: Final answer
    x = 11,720.10

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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.