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Finding the Fourth Proportional to 3,156.93, 4,733.72 and 1,575.40

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Solution

The fourth proportional to 3,156.93, 4,733.72 and 1,575.40 is: 2,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.93 : 4,733.72 = 1,575.40 : x
  2. Step 2: Convert to fraction form
    3,156.93/4,733.72 = 1,575.40/x
  3. Step 3: Cross multiply
    3,156.93x = 4,733.72 × 1,575.40
  4. Step 4: Simplify right side
    3,156.93x = 7,457,502.49
  5. Step 5: Solve for x
    x = 7,457,502.49/3,156.93
  6. Step 6: Final answer
    x = 2,362.26

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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.