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Finding the Fourth Proportional to 2,313.87, 3,471.02 and 647.99

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Solution

The fourth proportional to 2,313.87, 3,471.02 and 647.99 is: 972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.87 : 3,471.02 = 647.99 : x
  2. Step 2: Convert to fraction form
    2,313.87/3,471.02 = 647.99/x
  3. Step 3: Cross multiply
    2,313.87x = 3,471.02 × 647.99
  4. Step 4: Simplify right side
    2,313.87x = 2,249,186.25
  5. Step 5: Solve for x
    x = 2,249,186.25/2,313.87
  6. Step 6: Final answer
    x = 972.05

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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.