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Finding the Fourth Proportional to 1,858, 2,564.08 and 1,030

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Solution

The fourth proportional to 1,858, 2,564.08 and 1,030 is: 1,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858 : 2,564.08 = 1,030 : x
  2. Step 2: Convert to fraction form
    1,858/2,564.08 = 1,030/x
  3. Step 3: Cross multiply
    1,858x = 2,564.08 × 1,030
  4. Step 4: Simplify right side
    1,858x = 2,641,002.40
  5. Step 5: Solve for x
    x = 2,641,002.40/1,858
  6. Step 6: Final answer
    x = 1,421.42

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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.