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Finding the Fourth Proportional to 2,588.80, 3,881.92 and 945.28

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Solution

The fourth proportional to 2,588.80, 3,881.92 and 945.28 is: 1,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.80 : 3,881.92 = 945.28 : x
  2. Step 2: Convert to fraction form
    2,588.80/3,881.92 = 945.28/x
  3. Step 3: Cross multiply
    2,588.80x = 3,881.92 × 945.28
  4. Step 4: Simplify right side
    2,588.80x = 3,669,501.34
  5. Step 5: Solve for x
    x = 3,669,501.34/2,588.80
  6. Step 6: Final answer
    x = 1,417.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.