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Finding the Fourth Proportional to 7,030.72, 9,705.60 and 4,942.72

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Solution

The fourth proportional to 7,030.72, 9,705.60 and 4,942.72 is: 6,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.72 : 9,705.60 = 4,942.72 : x
  2. Step 2: Convert to fraction form
    7,030.72/9,705.60 = 4,942.72/x
  3. Step 3: Cross multiply
    7,030.72x = 9,705.60 × 4,942.72
  4. Step 4: Simplify right side
    7,030.72x = 47,972,063.23
  5. Step 5: Solve for x
    x = 47,972,063.23/7,030.72
  6. Step 6: Final answer
    x = 6,823.21

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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.