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Finding the Fourth Proportional to 7,001.65, 10,485.19 and 5,218.44

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Solution

The fourth proportional to 7,001.65, 10,485.19 and 5,218.44 is: 7,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.65 : 10,485.19 = 5,218.44 : x
  2. Step 2: Convert to fraction form
    7,001.65/10,485.19 = 5,218.44/x
  3. Step 3: Cross multiply
    7,001.65x = 10,485.19 × 5,218.44
  4. Step 4: Simplify right side
    7,001.65x = 54,716,302.20
  5. Step 5: Solve for x
    x = 54,716,302.20/7,001.65
  6. Step 6: Final answer
    x = 7,814.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.