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Finding the Fourth Proportional to 2,888.50, 4,332.75 and 836.50

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Solution

The fourth proportional to 2,888.50, 4,332.75 and 836.50 is: 1,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.50 : 4,332.75 = 836.50 : x
  2. Step 2: Convert to fraction form
    2,888.50/4,332.75 = 836.50/x
  3. Step 3: Cross multiply
    2,888.50x = 4,332.75 × 836.50
  4. Step 4: Simplify right side
    2,888.50x = 3,624,345.38
  5. Step 5: Solve for x
    x = 3,624,345.38/2,888.50
  6. Step 6: Final answer
    x = 1,254.75

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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.