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Finding the Fourth Proportional to 7,497.98, 10,347.23 and 4,140.80

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Solution

The fourth proportional to 7,497.98, 10,347.23 and 4,140.80 is: 5,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.98 : 10,347.23 = 4,140.80 : x
  2. Step 2: Convert to fraction form
    7,497.98/10,347.23 = 4,140.80/x
  3. Step 3: Cross multiply
    7,497.98x = 10,347.23 × 4,140.80
  4. Step 4: Simplify right side
    7,497.98x = 42,845,809.98
  5. Step 5: Solve for x
    x = 42,845,809.98/7,497.98
  6. Step 6: Final answer
    x = 5,714.31

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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.