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Finding the Fourth Proportional to 5,697, 7,862.40 and 4,503.60

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Solution

The fourth proportional to 5,697, 7,862.40 and 4,503.60 is: 6,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697 : 7,862.40 = 4,503.60 : x
  2. Step 2: Convert to fraction form
    5,697/7,862.40 = 4,503.60/x
  3. Step 3: Cross multiply
    5,697x = 7,862.40 × 4,503.60
  4. Step 4: Simplify right side
    5,697x = 35,409,104.64
  5. Step 5: Solve for x
    x = 35,409,104.64/5,697
  6. Step 6: Final answer
    x = 6,215.39

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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.