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Finding the Fourth Proportional to 7,999.78, 11,039.59 and 4,643.17

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Solution

The fourth proportional to 7,999.78, 11,039.59 and 4,643.17 is: 6,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.78 : 11,039.59 = 4,643.17 : x
  2. Step 2: Convert to fraction form
    7,999.78/11,039.59 = 4,643.17/x
  3. Step 3: Cross multiply
    7,999.78x = 11,039.59 × 4,643.17
  4. Step 4: Simplify right side
    7,999.78x = 51,258,693.10
  5. Step 5: Solve for x
    x = 51,258,693.10/7,999.78
  6. Step 6: Final answer
    x = 6,407.51

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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.