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Finding the Fourth Proportional to 7,243, 9,999.85 and 4,978.24

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Solution

The fourth proportional to 7,243, 9,999.85 and 4,978.24 is: 6,873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243 : 9,999.85 = 4,978.24 : x
  2. Step 2: Convert to fraction form
    7,243/9,999.85 = 4,978.24/x
  3. Step 3: Cross multiply
    7,243x = 9,999.85 × 4,978.24
  4. Step 4: Simplify right side
    7,243x = 49,781,653.26
  5. Step 5: Solve for x
    x = 49,781,653.26/7,243
  6. Step 6: Final answer
    x = 6,873.07

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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.