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Finding the Fourth Proportional to 7,156.50, 9,875.97 and 4,012.62

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Solution

The fourth proportional to 7,156.50, 9,875.97 and 4,012.62 is: 5,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.50 : 9,875.97 = 4,012.62 : x
  2. Step 2: Convert to fraction form
    7,156.50/9,875.97 = 4,012.62/x
  3. Step 3: Cross multiply
    7,156.50x = 9,875.97 × 4,012.62
  4. Step 4: Simplify right side
    7,156.50x = 39,628,514.74
  5. Step 5: Solve for x
    x = 39,628,514.74/7,156.50
  6. Step 6: Final answer
    x = 5,537.42

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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.