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Finding the Fourth Proportional to 7,970.98, 11,001.80 and 4,615.76

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Solution

The fourth proportional to 7,970.98, 11,001.80 and 4,615.76 is: 6,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.98 : 11,001.80 = 4,615.76 : x
  2. Step 2: Convert to fraction form
    7,970.98/11,001.80 = 4,615.76/x
  3. Step 3: Cross multiply
    7,970.98x = 11,001.80 × 4,615.76
  4. Step 4: Simplify right side
    7,970.98x = 50,781,668.37
  5. Step 5: Solve for x
    x = 50,781,668.37/7,970.98
  6. Step 6: Final answer
    x = 6,370.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.