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Finding the Fourth Proportional to 6,900.40, 9,522.48 and 3,916.30

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Solution

The fourth proportional to 6,900.40, 9,522.48 and 3,916.30 is: 5,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.40 : 9,522.48 = 3,916.30 : x
  2. Step 2: Convert to fraction form
    6,900.40/9,522.48 = 3,916.30/x
  3. Step 3: Cross multiply
    6,900.40x = 9,522.48 × 3,916.30
  4. Step 4: Simplify right side
    6,900.40x = 37,292,888.42
  5. Step 5: Solve for x
    x = 37,292,888.42/6,900.40
  6. Step 6: Final answer
    x = 5,404.45

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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.