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Finding the Fourth Proportional to 7,157.34, 9,874.80 and 4,012.92

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Solution

The fourth proportional to 7,157.34, 9,874.80 and 4,012.92 is: 5,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.34 : 9,874.80 = 4,012.92 : x
  2. Step 2: Convert to fraction form
    7,157.34/9,874.80 = 4,012.92/x
  3. Step 3: Cross multiply
    7,157.34x = 9,874.80 × 4,012.92
  4. Step 4: Simplify right side
    7,157.34x = 39,626,782.42
  5. Step 5: Solve for x
    x = 39,626,782.42/7,157.34
  6. Step 6: Final answer
    x = 5,536.52

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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.