Home / 1,406.16-2,097.36-1,188.24

Finding the Fourth Proportional to 1,406.16, 2,097.36 and 1,188.24

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Solution

The fourth proportional to 1,406.16, 2,097.36 and 1,188.24 is: 1,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.16 : 2,097.36 = 1,188.24 : x
  2. Step 2: Convert to fraction form
    1,406.16/2,097.36 = 1,188.24/x
  3. Step 3: Cross multiply
    1,406.16x = 2,097.36 × 1,188.24
  4. Step 4: Simplify right side
    1,406.16x = 2,492,167.05
  5. Step 5: Solve for x
    x = 2,492,167.05/1,406.16
  6. Step 6: Final answer
    x = 1,772.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.