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Finding the Fourth Proportional to 1,567.15, 2,162.90 and 903.86

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Solution

The fourth proportional to 1,567.15, 2,162.90 and 903.86 is: 1,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.15 : 2,162.90 = 903.86 : x
  2. Step 2: Convert to fraction form
    1,567.15/2,162.90 = 903.86/x
  3. Step 3: Cross multiply
    1,567.15x = 2,162.90 × 903.86
  4. Step 4: Simplify right side
    1,567.15x = 1,954,958.79
  5. Step 5: Solve for x
    x = 1,954,958.79/1,567.15
  6. Step 6: Final answer
    x = 1,247.46

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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.