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Finding the Fourth Proportional to 7,878.99, 10,873.03 and 4,342.19

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Solution

The fourth proportional to 7,878.99, 10,873.03 and 4,342.19 is: 5,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.99 : 10,873.03 = 4,342.19 : x
  2. Step 2: Convert to fraction form
    7,878.99/10,873.03 = 4,342.19/x
  3. Step 3: Cross multiply
    7,878.99x = 10,873.03 × 4,342.19
  4. Step 4: Simplify right side
    7,878.99x = 47,212,762.14
  5. Step 5: Solve for x
    x = 47,212,762.14/7,878.99
  6. Step 6: Final answer
    x = 5,992.24

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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.