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Finding the Fourth Proportional to 5,222.51, 7,207 and 2,864.65

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Solution

The fourth proportional to 5,222.51, 7,207 and 2,864.65 is: 3,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.51 : 7,207 = 2,864.65 : x
  2. Step 2: Convert to fraction form
    5,222.51/7,207 = 2,864.65/x
  3. Step 3: Cross multiply
    5,222.51x = 7,207 × 2,864.65
  4. Step 4: Simplify right side
    5,222.51x = 20,645,532.55
  5. Step 5: Solve for x
    x = 20,645,532.55/5,222.51
  6. Step 6: Final answer
    x = 3,953.18

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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.