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Finding the Fourth Proportional to 3,313.86, 4,970.64 and 973.78

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Solution

The fourth proportional to 3,313.86, 4,970.64 and 973.78 is: 1,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.86 : 4,970.64 = 973.78 : x
  2. Step 2: Convert to fraction form
    3,313.86/4,970.64 = 973.78/x
  3. Step 3: Cross multiply
    3,313.86x = 4,970.64 × 973.78
  4. Step 4: Simplify right side
    3,313.86x = 4,840,309.82
  5. Step 5: Solve for x
    x = 4,840,309.82/3,313.86
  6. Step 6: Final answer
    x = 1,460.63

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1.5x scale

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.