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Finding the Fourth Proportional to 3,133.77, 4,700.50 and 1,053.79

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Solution

The fourth proportional to 3,133.77, 4,700.50 and 1,053.79 is: 1,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.77 : 4,700.50 = 1,053.79 : x
  2. Step 2: Convert to fraction form
    3,133.77/4,700.50 = 1,053.79/x
  3. Step 3: Cross multiply
    3,133.77x = 4,700.50 × 1,053.79
  4. Step 4: Simplify right side
    3,133.77x = 4,953,351.95
  5. Step 5: Solve for x
    x = 4,953,351.95/3,133.77
  6. Step 6: Final answer
    x = 1,580.64

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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.