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Finding the Fourth Proportional to 1,763.45, 2,428 and 1,342.45

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Solution

The fourth proportional to 1,763.45, 2,428 and 1,342.45 is: 1,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.45 : 2,428 = 1,342.45 : x
  2. Step 2: Convert to fraction form
    1,763.45/2,428 = 1,342.45/x
  3. Step 3: Cross multiply
    1,763.45x = 2,428 × 1,342.45
  4. Step 4: Simplify right side
    1,763.45x = 3,259,468.60
  5. Step 5: Solve for x
    x = 3,259,468.60/1,763.45
  6. Step 6: Final answer
    x = 1,848.35

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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.