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Finding the Fourth Proportional to 1,368.09, 1,888.62 and 970.58

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Solution

The fourth proportional to 1,368.09, 1,888.62 and 970.58 is: 1,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.09 : 1,888.62 = 970.58 : x
  2. Step 2: Convert to fraction form
    1,368.09/1,888.62 = 970.58/x
  3. Step 3: Cross multiply
    1,368.09x = 1,888.62 × 970.58
  4. Step 4: Simplify right side
    1,368.09x = 1,833,057.88
  5. Step 5: Solve for x
    x = 1,833,057.88/1,368.09
  6. Step 6: Final answer
    x = 1,339.87

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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.