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Finding the Fourth Proportional to 3,007.78, 4,150.79 and 1,681.63

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Solution

The fourth proportional to 3,007.78, 4,150.79 and 1,681.63 is: 2,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.78 : 4,150.79 = 1,681.63 : x
  2. Step 2: Convert to fraction form
    3,007.78/4,150.79 = 1,681.63/x
  3. Step 3: Cross multiply
    3,007.78x = 4,150.79 × 1,681.63
  4. Step 4: Simplify right side
    3,007.78x = 6,980,080.51
  5. Step 5: Solve for x
    x = 6,980,080.51/3,007.78
  6. Step 6: Final answer
    x = 2,320.68

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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.