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Finding the Fourth Proportional to 6,129.65, 8,400.00 and 5,539.16

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Solution

The fourth proportional to 6,129.65, 8,400.00 and 5,539.16 is: 7,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.65 : 8,400.00 = 5,539.16 : x
  2. Step 2: Convert to fraction form
    6,129.65/8,400.00 = 5,539.16/x
  3. Step 3: Cross multiply
    6,129.65x = 8,400.00 × 5,539.16
  4. Step 4: Simplify right side
    6,129.65x = 46,528,916.30
  5. Step 5: Solve for x
    x = 46,528,916.30/6,129.65
  6. Step 6: Final answer
    x = 7,590.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.