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Finding the Fourth Proportional to 5,070.07, 7,605.15 and 1,782.42

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Solution

The fourth proportional to 5,070.07, 7,605.15 and 1,782.42 is: 2,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.07 : 7,605.15 = 1,782.42 : x
  2. Step 2: Convert to fraction form
    5,070.07/7,605.15 = 1,782.42/x
  3. Step 3: Cross multiply
    5,070.07x = 7,605.15 × 1,782.42
  4. Step 4: Simplify right side
    5,070.07x = 13,555,571.46
  5. Step 5: Solve for x
    x = 13,555,571.46/5,070.07
  6. Step 6: Final answer
    x = 2,673.65

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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.