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Finding the Fourth Proportional to 7,645.92, 11,474.48 and 3,030.24

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Solution

The fourth proportional to 7,645.92, 11,474.48 and 3,030.24 is: 4,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.92 : 11,474.48 = 3,030.24 : x
  2. Step 2: Convert to fraction form
    7,645.92/11,474.48 = 3,030.24/x
  3. Step 3: Cross multiply
    7,645.92x = 11,474.48 × 3,030.24
  4. Step 4: Simplify right side
    7,645.92x = 34,770,428.28
  5. Step 5: Solve for x
    x = 34,770,428.28/7,645.92
  6. Step 6: Final answer
    x = 4,547.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.