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Finding the Fourth Proportional to 1,756.74, 2,424.20 and 970.73

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Solution

The fourth proportional to 1,756.74, 2,424.20 and 970.73 is: 1,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.74 : 2,424.20 = 970.73 : x
  2. Step 2: Convert to fraction form
    1,756.74/2,424.20 = 970.73/x
  3. Step 3: Cross multiply
    1,756.74x = 2,424.20 × 970.73
  4. Step 4: Simplify right side
    1,756.74x = 2,353,257.61
  5. Step 5: Solve for x
    x = 2,353,257.61/1,756.74
  6. Step 6: Final answer
    x = 1,339.56

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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.