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Finding the Fourth Proportional to 2,428, 3,642.61 and 696.63

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Solution

The fourth proportional to 2,428, 3,642.61 and 696.63 is: 1,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428 : 3,642.61 = 696.63 : x
  2. Step 2: Convert to fraction form
    2,428/3,642.61 = 696.63/x
  3. Step 3: Cross multiply
    2,428x = 3,642.61 × 696.63
  4. Step 4: Simplify right side
    2,428x = 2,537,533.19
  5. Step 5: Solve for x
    x = 2,537,533.19/2,428
  6. Step 6: Final answer
    x = 1,045.11

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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.