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Finding the Fourth Proportional to 7,313.88, 10,970.80 and 3,421.02

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Solution

The fourth proportional to 7,313.88, 10,970.80 and 3,421.02 is: 5,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.88 : 10,970.80 = 3,421.02 : x
  2. Step 2: Convert to fraction form
    7,313.88/10,970.80 = 3,421.02/x
  3. Step 3: Cross multiply
    7,313.88x = 10,970.80 × 3,421.02
  4. Step 4: Simplify right side
    7,313.88x = 37,531,326.22
  5. Step 5: Solve for x
    x = 37,531,326.22/7,313.88
  6. Step 6: Final answer
    x = 5,131.52

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1.5x scale

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.