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Finding the Fourth Proportional to 1,953.48, 2,928.59 and 782.76

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Solution

The fourth proportional to 1,953.48, 2,928.59 and 782.76 is: 1,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.48 : 2,928.59 = 782.76 : x
  2. Step 2: Convert to fraction form
    1,953.48/2,928.59 = 782.76/x
  3. Step 3: Cross multiply
    1,953.48x = 2,928.59 × 782.76
  4. Step 4: Simplify right side
    1,953.48x = 2,292,383.11
  5. Step 5: Solve for x
    x = 2,292,383.11/1,953.48
  6. Step 6: Final answer
    x = 1,173.49

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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.