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Finding the Fourth Proportional to 1,860.84, 2,565 and 1,231.20

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Solution

The fourth proportional to 1,860.84, 2,565 and 1,231.20 is: 1,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.84 : 2,565 = 1,231.20 : x
  2. Step 2: Convert to fraction form
    1,860.84/2,565 = 1,231.20/x
  3. Step 3: Cross multiply
    1,860.84x = 2,565 × 1,231.20
  4. Step 4: Simplify right side
    1,860.84x = 3,158,028
  5. Step 5: Solve for x
    x = 3,158,028/1,860.84
  6. Step 6: Final answer
    x = 1,697.10

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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.