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Finding the Fourth Proportional to 6,897.50, 10,347.88 and 2,280.50

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Solution

The fourth proportional to 6,897.50, 10,347.88 and 2,280.50 is: 3,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.50 : 10,347.88 = 2,280.50 : x
  2. Step 2: Convert to fraction form
    6,897.50/10,347.88 = 2,280.50/x
  3. Step 3: Cross multiply
    6,897.50x = 10,347.88 × 2,280.50
  4. Step 4: Simplify right side
    6,897.50x = 23,598,340.34
  5. Step 5: Solve for x
    x = 23,598,340.34/6,897.50
  6. Step 6: Final answer
    x = 3,421.29

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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.