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Finding the Fourth Proportional to 1,921.53, 2,649.63 and 1,670.63

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Solution

The fourth proportional to 1,921.53, 2,649.63 and 1,670.63 is: 2,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.53 : 2,649.63 = 1,670.63 : x
  2. Step 2: Convert to fraction form
    1,921.53/2,649.63 = 1,670.63/x
  3. Step 3: Cross multiply
    1,921.53x = 2,649.63 × 1,670.63
  4. Step 4: Simplify right side
    1,921.53x = 4,426,557.99
  5. Step 5: Solve for x
    x = 4,426,557.99/1,921.53
  6. Step 6: Final answer
    x = 2,303.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.