Home / 1,656.21-2,285.30-947.94

Finding the Fourth Proportional to 1,656.21, 2,285.30 and 947.94

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Solution

The fourth proportional to 1,656.21, 2,285.30 and 947.94 is: 1,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.21 : 2,285.30 = 947.94 : x
  2. Step 2: Convert to fraction form
    1,656.21/2,285.30 = 947.94/x
  3. Step 3: Cross multiply
    1,656.21x = 2,285.30 × 947.94
  4. Step 4: Simplify right side
    1,656.21x = 2,166,322.54
  5. Step 5: Solve for x
    x = 2,166,322.54/1,656.21
  6. Step 6: Final answer
    x = 1,308.00

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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.