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Finding the Fourth Proportional to 2,453, 3,385.16 and 1,405.07

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Solution

The fourth proportional to 2,453, 3,385.16 and 1,405.07 is: 1,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453 : 3,385.16 = 1,405.07 : x
  2. Step 2: Convert to fraction form
    2,453/3,385.16 = 1,405.07/x
  3. Step 3: Cross multiply
    2,453x = 3,385.16 × 1,405.07
  4. Step 4: Simplify right side
    2,453x = 4,756,386.76
  5. Step 5: Solve for x
    x = 4,756,386.76/2,453
  6. Step 6: Final answer
    x = 1,939.01

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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.