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Finding the Fourth Proportional to 1,684.32, 2,323.76 and 948.32

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Solution

The fourth proportional to 1,684.32, 2,323.76 and 948.32 is: 1,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.32 : 2,323.76 = 948.32 : x
  2. Step 2: Convert to fraction form
    1,684.32/2,323.76 = 948.32/x
  3. Step 3: Cross multiply
    1,684.32x = 2,323.76 × 948.32
  4. Step 4: Simplify right side
    1,684.32x = 2,203,668.08
  5. Step 5: Solve for x
    x = 2,203,668.08/1,684.32
  6. Step 6: Final answer
    x = 1,308.34

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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.