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Finding the Fourth Proportional to 1,881.67, 2,596.62 and 1,030.88

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Solution

The fourth proportional to 1,881.67, 2,596.62 and 1,030.88 is: 1,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.67 : 2,596.62 = 1,030.88 : x
  2. Step 2: Convert to fraction form
    1,881.67/2,596.62 = 1,030.88/x
  3. Step 3: Cross multiply
    1,881.67x = 2,596.62 × 1,030.88
  4. Step 4: Simplify right side
    1,881.67x = 2,676,803.63
  5. Step 5: Solve for x
    x = 2,676,803.63/1,881.67
  6. Step 6: Final answer
    x = 1,422.57

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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.