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Finding the Fourth Proportional to 2,685.76, 4,030.26 and 954.25

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Solution

The fourth proportional to 2,685.76, 4,030.26 and 954.25 is: 1,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.76 : 4,030.26 = 954.25 : x
  2. Step 2: Convert to fraction form
    2,685.76/4,030.26 = 954.25/x
  3. Step 3: Cross multiply
    2,685.76x = 4,030.26 × 954.25
  4. Step 4: Simplify right side
    2,685.76x = 3,845,875.61
  5. Step 5: Solve for x
    x = 3,845,875.61/2,685.76
  6. Step 6: Final answer
    x = 1,431.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.