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Finding the Fourth Proportional to 2,964, 4,090.32 and 1,860

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Solution

The fourth proportional to 2,964, 4,090.32 and 1,860 is: 2,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964 : 4,090.32 = 1,860 : x
  2. Step 2: Convert to fraction form
    2,964/4,090.32 = 1,860/x
  3. Step 3: Cross multiply
    2,964x = 4,090.32 × 1,860
  4. Step 4: Simplify right side
    2,964x = 7,607,995.20
  5. Step 5: Solve for x
    x = 7,607,995.20/2,964
  6. Step 6: Final answer
    x = 2,566.80

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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.