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Finding the Fourth Proportional to 7,130.50, 10,695.75 and 2,513.50

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Solution

The fourth proportional to 7,130.50, 10,695.75 and 2,513.50 is: 3,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.50 : 10,695.75 = 2,513.50 : x
  2. Step 2: Convert to fraction form
    7,130.50/10,695.75 = 2,513.50/x
  3. Step 3: Cross multiply
    7,130.50x = 10,695.75 × 2,513.50
  4. Step 4: Simplify right side
    7,130.50x = 26,883,767.63
  5. Step 5: Solve for x
    x = 26,883,767.63/7,130.50
  6. Step 6: Final answer
    x = 3,770.25

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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.