Home / 1,188.32-1,638.36-919.40

Finding the Fourth Proportional to 1,188.32, 1,638.36 and 919.40

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Solution

The fourth proportional to 1,188.32, 1,638.36 and 919.40 is: 1,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.32 : 1,638.36 = 919.40 : x
  2. Step 2: Convert to fraction form
    1,188.32/1,638.36 = 919.40/x
  3. Step 3: Cross multiply
    1,188.32x = 1,638.36 × 919.40
  4. Step 4: Simplify right side
    1,188.32x = 1,506,308.18
  5. Step 5: Solve for x
    x = 1,506,308.18/1,188.32
  6. Step 6: Final answer
    x = 1,267.59

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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.