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Finding the Fourth Proportional to 12,739.47, 17,580.24 and 7,074.24

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Solution

The fourth proportional to 12,739.47, 17,580.24 and 7,074.24 is: 9,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.47 : 17,580.24 = 7,074.24 : x
  2. Step 2: Convert to fraction form
    12,739.47/17,580.24 = 7,074.24/x
  3. Step 3: Cross multiply
    12,739.47x = 17,580.24 × 7,074.24
  4. Step 4: Simplify right side
    12,739.47x = 124,366,837.02
  5. Step 5: Solve for x
    x = 124,366,837.02/12,739.47
  6. Step 6: Final answer
    x = 9,762.32

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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.