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Finding the Fourth Proportional to 1,953.10, 2,928.50 and 783.65

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Solution

The fourth proportional to 1,953.10, 2,928.50 and 783.65 is: 1,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.10 : 2,928.50 = 783.65 : x
  2. Step 2: Convert to fraction form
    1,953.10/2,928.50 = 783.65/x
  3. Step 3: Cross multiply
    1,953.10x = 2,928.50 × 783.65
  4. Step 4: Simplify right side
    1,953.10x = 2,294,925.37
  5. Step 5: Solve for x
    x = 2,294,925.37/1,953.10
  6. Step 6: Final answer
    x = 1,175.02

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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.