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Finding the Fourth Proportional to 4,751.58, 7,129.94 and 1,980.16

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Solution

The fourth proportional to 4,751.58, 7,129.94 and 1,980.16 is: 2,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.58 : 7,129.94 = 1,980.16 : x
  2. Step 2: Convert to fraction form
    4,751.58/7,129.94 = 1,980.16/x
  3. Step 3: Cross multiply
    4,751.58x = 7,129.94 × 1,980.16
  4. Step 4: Simplify right side
    4,751.58x = 14,118,421.99
  5. Step 5: Solve for x
    x = 14,118,421.99/4,751.58
  6. Step 6: Final answer
    x = 2,971.31

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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.