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Finding the Fourth Proportional to 1,647.95, 2,473.40 and 868.46

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Solution

The fourth proportional to 1,647.95, 2,473.40 and 868.46 is: 1,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.95 : 2,473.40 = 868.46 : x
  2. Step 2: Convert to fraction form
    1,647.95/2,473.40 = 868.46/x
  3. Step 3: Cross multiply
    1,647.95x = 2,473.40 × 868.46
  4. Step 4: Simplify right side
    1,647.95x = 2,148,038.77
  5. Step 5: Solve for x
    x = 2,148,038.77/1,647.95
  6. Step 6: Final answer
    x = 1,303.47

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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.