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Finding the Fourth Proportional to 7,315, 10,094.70 and 4,003

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Solution

The fourth proportional to 7,315, 10,094.70 and 4,003 is: 5,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315 : 10,094.70 = 4,003 : x
  2. Step 2: Convert to fraction form
    7,315/10,094.70 = 4,003/x
  3. Step 3: Cross multiply
    7,315x = 10,094.70 × 4,003
  4. Step 4: Simplify right side
    7,315x = 40,409,084.10
  5. Step 5: Solve for x
    x = 40,409,084.10/7,315
  6. Step 6: Final answer
    x = 5,524.14

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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.