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Finding the Fourth Proportional to 7,020.42, 9,701.01 and 6,678.74

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Solution

The fourth proportional to 7,020.42, 9,701.01 and 6,678.74 is: 9,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.42 : 9,701.01 = 6,678.74 : x
  2. Step 2: Convert to fraction form
    7,020.42/9,701.01 = 6,678.74/x
  3. Step 3: Cross multiply
    7,020.42x = 9,701.01 × 6,678.74
  4. Step 4: Simplify right side
    7,020.42x = 64,790,475.02
  5. Step 5: Solve for x
    x = 64,790,475.02/7,020.42
  6. Step 6: Final answer
    x = 9,228.86

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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.