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Finding the Fourth Proportional to 9,386.67, 12,958.28 and 5,407.02

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Solution

The fourth proportional to 9,386.67, 12,958.28 and 5,407.02 is: 7,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.67 : 12,958.28 = 5,407.02 : x
  2. Step 2: Convert to fraction form
    9,386.67/12,958.28 = 5,407.02/x
  3. Step 3: Cross multiply
    9,386.67x = 12,958.28 × 5,407.02
  4. Step 4: Simplify right side
    9,386.67x = 70,065,652.09
  5. Step 5: Solve for x
    x = 70,065,652.09/9,386.67
  6. Step 6: Final answer
    x = 7,464.38

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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.