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Finding the Fourth Proportional to 3,071.78, 4,607.66 and 880.51

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Solution

The fourth proportional to 3,071.78, 4,607.66 and 880.51 is: 1,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.78 : 4,607.66 = 880.51 : x
  2. Step 2: Convert to fraction form
    3,071.78/4,607.66 = 880.51/x
  3. Step 3: Cross multiply
    3,071.78x = 4,607.66 × 880.51
  4. Step 4: Simplify right side
    3,071.78x = 4,057,090.71
  5. Step 5: Solve for x
    x = 4,057,090.71/3,071.78
  6. Step 6: Final answer
    x = 1,320.76

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1.5x scale

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.