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Finding the Fourth Proportional to 1,759.88, 2,428.47 and 973.95

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Solution

The fourth proportional to 1,759.88, 2,428.47 and 973.95 is: 1,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.88 : 2,428.47 = 973.95 : x
  2. Step 2: Convert to fraction form
    1,759.88/2,428.47 = 973.95/x
  3. Step 3: Cross multiply
    1,759.88x = 2,428.47 × 973.95
  4. Step 4: Simplify right side
    1,759.88x = 2,365,208.36
  5. Step 5: Solve for x
    x = 2,365,208.36/1,759.88
  6. Step 6: Final answer
    x = 1,343.96

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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.