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Finding the Fourth Proportional to 4,687, 7,030.64 and 1,224.28

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Solution

The fourth proportional to 4,687, 7,030.64 and 1,224.28 is: 1,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687 : 7,030.64 = 1,224.28 : x
  2. Step 2: Convert to fraction form
    4,687/7,030.64 = 1,224.28/x
  3. Step 3: Cross multiply
    4,687x = 7,030.64 × 1,224.28
  4. Step 4: Simplify right side
    4,687x = 8,607,471.94
  5. Step 5: Solve for x
    x = 8,607,471.94/4,687
  6. Step 6: Final answer
    x = 1,836.46

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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.