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Finding the Fourth Proportional to 2,307.56, 3,461.40 and 921.56

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Solution

The fourth proportional to 2,307.56, 3,461.40 and 921.56 is: 1,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.56 : 3,461.40 = 921.56 : x
  2. Step 2: Convert to fraction form
    2,307.56/3,461.40 = 921.56/x
  3. Step 3: Cross multiply
    2,307.56x = 3,461.40 × 921.56
  4. Step 4: Simplify right side
    2,307.56x = 3,189,870.48
  5. Step 5: Solve for x
    x = 3,189,870.48/2,307.56
  6. Step 6: Final answer
    x = 1,382.36

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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.