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Finding the Fourth Proportional to 7,570.40, 11,347.80 and 3,412.40

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Solution

The fourth proportional to 7,570.40, 11,347.80 and 3,412.40 is: 5,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.40 : 11,347.80 = 3,412.40 : x
  2. Step 2: Convert to fraction form
    7,570.40/11,347.80 = 3,412.40/x
  3. Step 3: Cross multiply
    7,570.40x = 11,347.80 × 3,412.40
  4. Step 4: Simplify right side
    7,570.40x = 38,723,232.72
  5. Step 5: Solve for x
    x = 38,723,232.72/7,570.40
  6. Step 6: Final answer
    x = 5,115.08

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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.