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Finding the Fourth Proportional to 7,146.09, 9,865.40 and 5,381.91

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Solution

The fourth proportional to 7,146.09, 9,865.40 and 5,381.91 is: 7,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.09 : 9,865.40 = 5,381.91 : x
  2. Step 2: Convert to fraction form
    7,146.09/9,865.40 = 5,381.91/x
  3. Step 3: Cross multiply
    7,146.09x = 9,865.40 × 5,381.91
  4. Step 4: Simplify right side
    7,146.09x = 53,094,668.00
  5. Step 5: Solve for x
    x = 53,094,668.00/7,146.09
  6. Step 6: Final answer
    x = 7,429.89

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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.