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Finding the Fourth Proportional to 4,672.40, 7,011 and 3,113.52

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Solution

The fourth proportional to 4,672.40, 7,011 and 3,113.52 is: 4,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.40 : 7,011 = 3,113.52 : x
  2. Step 2: Convert to fraction form
    4,672.40/7,011 = 3,113.52/x
  3. Step 3: Cross multiply
    4,672.40x = 7,011 × 3,113.52
  4. Step 4: Simplify right side
    4,672.40x = 21,828,888.72
  5. Step 5: Solve for x
    x = 21,828,888.72/4,672.40
  6. Step 6: Final answer
    x = 4,671.88

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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.