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Finding the Fourth Proportional to 2,318.76, 3,477.51 and 857.10

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Solution

The fourth proportional to 2,318.76, 3,477.51 and 857.10 is: 1,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.76 : 3,477.51 = 857.10 : x
  2. Step 2: Convert to fraction form
    2,318.76/3,477.51 = 857.10/x
  3. Step 3: Cross multiply
    2,318.76x = 3,477.51 × 857.10
  4. Step 4: Simplify right side
    2,318.76x = 2,980,573.82
  5. Step 5: Solve for x
    x = 2,980,573.82/2,318.76
  6. Step 6: Final answer
    x = 1,285.42

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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.