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Finding the Fourth Proportional to 1,398.40, 1,925.40 and 1,188.16

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Solution

The fourth proportional to 1,398.40, 1,925.40 and 1,188.16 is: 1,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.40 : 1,925.40 = 1,188.16 : x
  2. Step 2: Convert to fraction form
    1,398.40/1,925.40 = 1,188.16/x
  3. Step 3: Cross multiply
    1,398.40x = 1,925.40 × 1,188.16
  4. Step 4: Simplify right side
    1,398.40x = 2,287,683.26
  5. Step 5: Solve for x
    x = 2,287,683.26/1,398.40
  6. Step 6: Final answer
    x = 1,635.93

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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.