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Finding the Fourth Proportional to 5,725, 7,903.74 and 4,325.32

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Solution

The fourth proportional to 5,725, 7,903.74 and 4,325.32 is: 5,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725 : 7,903.74 = 4,325.32 : x
  2. Step 2: Convert to fraction form
    5,725/7,903.74 = 4,325.32/x
  3. Step 3: Cross multiply
    5,725x = 7,903.74 × 4,325.32
  4. Step 4: Simplify right side
    5,725x = 34,186,204.70
  5. Step 5: Solve for x
    x = 34,186,204.70/5,725
  6. Step 6: Final answer
    x = 5,971.39

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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.