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Finding the Fourth Proportional to 12,305.79, 16,983 and 7,590.51

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Solution

The fourth proportional to 12,305.79, 16,983 and 7,590.51 is: 10,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.79 : 16,983 = 7,590.51 : x
  2. Step 2: Convert to fraction form
    12,305.79/16,983 = 7,590.51/x
  3. Step 3: Cross multiply
    12,305.79x = 16,983 × 7,590.51
  4. Step 4: Simplify right side
    12,305.79x = 128,909,631.33
  5. Step 5: Solve for x
    x = 128,909,631.33/12,305.79
  6. Step 6: Final answer
    x = 10,475.53

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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.