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Finding the Fourth Proportional to 4,666.77, 7,000.16 and 1,380.20

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Solution

The fourth proportional to 4,666.77, 7,000.16 and 1,380.20 is: 2,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.77 : 7,000.16 = 1,380.20 : x
  2. Step 2: Convert to fraction form
    4,666.77/7,000.16 = 1,380.20/x
  3. Step 3: Cross multiply
    4,666.77x = 7,000.16 × 1,380.20
  4. Step 4: Simplify right side
    4,666.77x = 9,661,578.93
  5. Step 5: Solve for x
    x = 9,661,578.93/4,666.77
  6. Step 6: Final answer
    x = 2,070.29

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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.