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Finding the Fourth Proportional to 6,897.72, 9,521.94 and 5,219.40

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Solution

The fourth proportional to 6,897.72, 9,521.94 and 5,219.40 is: 7,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.72 : 9,521.94 = 5,219.40 : x
  2. Step 2: Convert to fraction form
    6,897.72/9,521.94 = 5,219.40/x
  3. Step 3: Cross multiply
    6,897.72x = 9,521.94 × 5,219.40
  4. Step 4: Simplify right side
    6,897.72x = 49,698,813.64
  5. Step 5: Solve for x
    x = 49,698,813.64/6,897.72
  6. Step 6: Final answer
    x = 7,205.11

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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.