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Finding the Fourth Proportional to 7,559.77, 10,418.93 and 6,148.14

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Solution

The fourth proportional to 7,559.77, 10,418.93 and 6,148.14 is: 8,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.77 : 10,418.93 = 6,148.14 : x
  2. Step 2: Convert to fraction form
    7,559.77/10,418.93 = 6,148.14/x
  3. Step 3: Cross multiply
    7,559.77x = 10,418.93 × 6,148.14
  4. Step 4: Simplify right side
    7,559.77x = 64,057,040.29
  5. Step 5: Solve for x
    x = 64,057,040.29/7,559.77
  6. Step 6: Final answer
    x = 8,473.41

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1.5x scale

Why These Related Problems?

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