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Finding the Fourth Proportional to 1,858.49, 2,564.26 and 1,030.49

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Solution

The fourth proportional to 1,858.49, 2,564.26 and 1,030.49 is: 1,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.49 : 2,564.26 = 1,030.49 : x
  2. Step 2: Convert to fraction form
    1,858.49/2,564.26 = 1,030.49/x
  3. Step 3: Cross multiply
    1,858.49x = 2,564.26 × 1,030.49
  4. Step 4: Simplify right side
    1,858.49x = 2,642,444.29
  5. Step 5: Solve for x
    x = 2,642,444.29/1,858.49
  6. Step 6: Final answer
    x = 1,421.82

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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.