Home / 1,604.30-2,214.14-975.06

Finding the Fourth Proportional to 1,604.30, 2,214.14 and 975.06

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Solution

The fourth proportional to 1,604.30, 2,214.14 and 975.06 is: 1,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.30 : 2,214.14 = 975.06 : x
  2. Step 2: Convert to fraction form
    1,604.30/2,214.14 = 975.06/x
  3. Step 3: Cross multiply
    1,604.30x = 2,214.14 × 975.06
  4. Step 4: Simplify right side
    1,604.30x = 2,158,914.47
  5. Step 5: Solve for x
    x = 2,158,914.47/1,604.30
  6. Step 6: Final answer
    x = 1,345.71

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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.