Home / 1,657.40-2,482.32-1,407.92

Finding the Fourth Proportional to 1,657.40, 2,482.32 and 1,407.92

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Solution

The fourth proportional to 1,657.40, 2,482.32 and 1,407.92 is: 2,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.40 : 2,482.32 = 1,407.92 : x
  2. Step 2: Convert to fraction form
    1,657.40/2,482.32 = 1,407.92/x
  3. Step 3: Cross multiply
    1,657.40x = 2,482.32 × 1,407.92
  4. Step 4: Simplify right side
    1,657.40x = 3,494,907.97
  5. Step 5: Solve for x
    x = 3,494,907.97/1,657.40
  6. Step 6: Final answer
    x = 2,108.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.