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Finding the Fourth Proportional to 5,782.68, 7,980.10 and 3,130.08

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Solution

The fourth proportional to 5,782.68, 7,980.10 and 3,130.08 is: 4,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.68 : 7,980.10 = 3,130.08 : x
  2. Step 2: Convert to fraction form
    5,782.68/7,980.10 = 3,130.08/x
  3. Step 3: Cross multiply
    5,782.68x = 7,980.10 × 3,130.08
  4. Step 4: Simplify right side
    5,782.68x = 24,978,351.41
  5. Step 5: Solve for x
    x = 24,978,351.41/5,782.68
  6. Step 6: Final answer
    x = 4,319.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.