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Finding the Fourth Proportional to 12,925.76, 17,837.16 and 7,183.20

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Solution

The fourth proportional to 12,925.76, 17,837.16 and 7,183.20 is: 9,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,925.76 : 17,837.16 = 7,183.20 : x
  2. Step 2: Convert to fraction form
    12,925.76/17,837.16 = 7,183.20/x
  3. Step 3: Cross multiply
    12,925.76x = 17,837.16 × 7,183.20
  4. Step 4: Simplify right side
    12,925.76x = 128,127,887.71
  5. Step 5: Solve for x
    x = 128,127,887.71/12,925.76
  6. Step 6: Final answer
    x = 9,912.60

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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.