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Finding the Fourth Proportional to 9,271.78, 12,795.04 and 5,294.14

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Solution

The fourth proportional to 9,271.78, 12,795.04 and 5,294.14 is: 7,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.78 : 12,795.04 = 5,294.14 : x
  2. Step 2: Convert to fraction form
    9,271.78/12,795.04 = 5,294.14/x
  3. Step 3: Cross multiply
    9,271.78x = 12,795.04 × 5,294.14
  4. Step 4: Simplify right side
    9,271.78x = 67,738,733.07
  5. Step 5: Solve for x
    x = 67,738,733.07/9,271.78
  6. Step 6: Final answer
    x = 7,305.90

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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.