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Finding the Fourth Proportional to 6,927.80, 9,705.40 and 6,927.80

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Solution

The fourth proportional to 6,927.80, 9,705.40 and 6,927.80 is: 9,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.80 : 9,705.40 = 6,927.80 : x
  2. Step 2: Convert to fraction form
    6,927.80/9,705.40 = 6,927.80/x
  3. Step 3: Cross multiply
    6,927.80x = 9,705.40 × 6,927.80
  4. Step 4: Simplify right side
    6,927.80x = 67,237,070.12
  5. Step 5: Solve for x
    x = 67,237,070.12/6,927.80
  6. Step 6: Final answer
    x = 9,705.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.