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Finding the Fourth Proportional to 1,866.48, 2,575.84 and 1,038.48

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Solution

The fourth proportional to 1,866.48, 2,575.84 and 1,038.48 is: 1,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.48 : 2,575.84 = 1,038.48 : x
  2. Step 2: Convert to fraction form
    1,866.48/2,575.84 = 1,038.48/x
  3. Step 3: Cross multiply
    1,866.48x = 2,575.84 × 1,038.48
  4. Step 4: Simplify right side
    1,866.48x = 2,674,958.32
  5. Step 5: Solve for x
    x = 2,674,958.32/1,866.48
  6. Step 6: Final answer
    x = 1,433.16

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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.