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Finding the Fourth Proportional to 9,381.93, 12,952.45 and 7,005

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Solution

The fourth proportional to 9,381.93, 12,952.45 and 7,005 is: 9,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.93 : 12,952.45 = 7,005 : x
  2. Step 2: Convert to fraction form
    9,381.93/12,952.45 = 7,005/x
  3. Step 3: Cross multiply
    9,381.93x = 12,952.45 × 7,005
  4. Step 4: Simplify right side
    9,381.93x = 90,731,912.25
  5. Step 5: Solve for x
    x = 90,731,912.25/9,381.93
  6. Step 6: Final answer
    x = 9,670.92

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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.