Home / 1,656.08-2,284.73-947.54

Finding the Fourth Proportional to 1,656.08, 2,284.73 and 947.54

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Solution

The fourth proportional to 1,656.08, 2,284.73 and 947.54 is: 1,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.08 : 2,284.73 = 947.54 : x
  2. Step 2: Convert to fraction form
    1,656.08/2,284.73 = 947.54/x
  3. Step 3: Cross multiply
    1,656.08x = 2,284.73 × 947.54
  4. Step 4: Simplify right side
    1,656.08x = 2,164,882.92
  5. Step 5: Solve for x
    x = 2,164,882.92/1,656.08
  6. Step 6: Final answer
    x = 1,307.23

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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.