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Finding the Fourth Proportional to 5,782.80, 7,980.20 and 3,130.16

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Solution

The fourth proportional to 5,782.80, 7,980.20 and 3,130.16 is: 4,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.80 : 7,980.20 = 3,130.16 : x
  2. Step 2: Convert to fraction form
    5,782.80/7,980.20 = 3,130.16/x
  3. Step 3: Cross multiply
    5,782.80x = 7,980.20 × 3,130.16
  4. Step 4: Simplify right side
    5,782.80x = 24,979,302.83
  5. Step 5: Solve for x
    x = 24,979,302.83/5,782.80
  6. Step 6: Final answer
    x = 4,319.59

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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.