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Finding the Fourth Proportional to 1,513.30, 2,087.81 and 989.63

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Solution

The fourth proportional to 1,513.30, 2,087.81 and 989.63 is: 1,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.30 : 2,087.81 = 989.63 : x
  2. Step 2: Convert to fraction form
    1,513.30/2,087.81 = 989.63/x
  3. Step 3: Cross multiply
    1,513.30x = 2,087.81 × 989.63
  4. Step 4: Simplify right side
    1,513.30x = 2,066,159.41
  5. Step 5: Solve for x
    x = 2,066,159.41/1,513.30
  6. Step 6: Final answer
    x = 1,365.33

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1.5x scale

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.