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Finding the Fourth Proportional to 9,386.84, 12,958.98 and 6,407.12

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Solution

The fourth proportional to 9,386.84, 12,958.98 and 6,407.12 is: 8,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.84 : 12,958.98 = 6,407.12 : x
  2. Step 2: Convert to fraction form
    9,386.84/12,958.98 = 6,407.12/x
  3. Step 3: Cross multiply
    9,386.84x = 12,958.98 × 6,407.12
  4. Step 4: Simplify right side
    9,386.84x = 83,029,739.94
  5. Step 5: Solve for x
    x = 83,029,739.94/9,386.84
  6. Step 6: Final answer
    x = 8,845.33

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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.