Home / 1,645.68-2,271.14-947.08

Finding the Fourth Proportional to 1,645.68, 2,271.14 and 947.08

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Solution

The fourth proportional to 1,645.68, 2,271.14 and 947.08 is: 1,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.68 : 2,271.14 = 947.08 : x
  2. Step 2: Convert to fraction form
    1,645.68/2,271.14 = 947.08/x
  3. Step 3: Cross multiply
    1,645.68x = 2,271.14 × 947.08
  4. Step 4: Simplify right side
    1,645.68x = 2,150,951.27
  5. Step 5: Solve for x
    x = 2,150,951.27/1,645.68
  6. Step 6: Final answer
    x = 1,307.03

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1.5x scale

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.