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Finding the Fourth Proportional to 1,500.88, 2,071.92 and 903.64

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Solution

The fourth proportional to 1,500.88, 2,071.92 and 903.64 is: 1,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.88 : 2,071.92 = 903.64 : x
  2. Step 2: Convert to fraction form
    1,500.88/2,071.92 = 903.64/x
  3. Step 3: Cross multiply
    1,500.88x = 2,071.92 × 903.64
  4. Step 4: Simplify right side
    1,500.88x = 1,872,269.79
  5. Step 5: Solve for x
    x = 1,872,269.79/1,500.88
  6. Step 6: Final answer
    x = 1,247.45

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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.