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Finding the Fourth Proportional to 2,361.68, 3,258.96 and 1,430

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Solution

The fourth proportional to 2,361.68, 3,258.96 and 1,430 is: 1,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.68 : 3,258.96 = 1,430 : x
  2. Step 2: Convert to fraction form
    2,361.68/3,258.96 = 1,430/x
  3. Step 3: Cross multiply
    2,361.68x = 3,258.96 × 1,430
  4. Step 4: Simplify right side
    2,361.68x = 4,660,312.80
  5. Step 5: Solve for x
    x = 4,660,312.80/2,361.68
  6. Step 6: Final answer
    x = 1,973.30

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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.