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Finding the Fourth Proportional to 7,312.75, 10,969.14 and 1,840.75

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Solution

The fourth proportional to 7,312.75, 10,969.14 and 1,840.75 is: 2,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.75 : 10,969.14 = 1,840.75 : x
  2. Step 2: Convert to fraction form
    7,312.75/10,969.14 = 1,840.75/x
  3. Step 3: Cross multiply
    7,312.75x = 10,969.14 × 1,840.75
  4. Step 4: Simplify right side
    7,312.75x = 20,191,444.46
  5. Step 5: Solve for x
    x = 20,191,444.46/7,312.75
  6. Step 6: Final answer
    x = 2,761.13

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1.5x scale

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.