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Finding the Fourth Proportional to 5,186.90, 7,730.04 and 5,020.86

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Solution

The fourth proportional to 5,186.90, 7,730.04 and 5,020.86 is: 7,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.90 : 7,730.04 = 5,020.86 : x
  2. Step 2: Convert to fraction form
    5,186.90/7,730.04 = 5,020.86/x
  3. Step 3: Cross multiply
    5,186.90x = 7,730.04 × 5,020.86
  4. Step 4: Simplify right side
    5,186.90x = 38,811,448.63
  5. Step 5: Solve for x
    x = 38,811,448.63/5,186.90
  6. Step 6: Final answer
    x = 7,482.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.