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Finding the Fourth Proportional to 9,342.51, 12,894.39 and 5,309.31

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Solution

The fourth proportional to 9,342.51, 12,894.39 and 5,309.31 is: 7,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.51 : 12,894.39 = 5,309.31 : x
  2. Step 2: Convert to fraction form
    9,342.51/12,894.39 = 5,309.31/x
  3. Step 3: Cross multiply
    9,342.51x = 12,894.39 × 5,309.31
  4. Step 4: Simplify right side
    9,342.51x = 68,460,362.12
  5. Step 5: Solve for x
    x = 68,460,362.12/9,342.51
  6. Step 6: Final answer
    x = 7,327.84

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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.