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Finding the Fourth Proportional to 1,671.95, 2,307.24 and 1,009.19

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Solution

The fourth proportional to 1,671.95, 2,307.24 and 1,009.19 is: 1,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.95 : 2,307.24 = 1,009.19 : x
  2. Step 2: Convert to fraction form
    1,671.95/2,307.24 = 1,009.19/x
  3. Step 3: Cross multiply
    1,671.95x = 2,307.24 × 1,009.19
  4. Step 4: Simplify right side
    1,671.95x = 2,328,443.54
  5. Step 5: Solve for x
    x = 2,328,443.54/1,671.95
  6. Step 6: Final answer
    x = 1,392.65

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Double scale
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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.