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Finding the Fourth Proportional to 7,113.69, 9,811.34 and 4,561.69

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Solution

The fourth proportional to 7,113.69, 9,811.34 and 4,561.69 is: 6,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.69 : 9,811.34 = 4,561.69 : x
  2. Step 2: Convert to fraction form
    7,113.69/9,811.34 = 4,561.69/x
  3. Step 3: Cross multiply
    7,113.69x = 9,811.34 × 4,561.69
  4. Step 4: Simplify right side
    7,113.69x = 44,756,242.51
  5. Step 5: Solve for x
    x = 44,756,242.51/7,113.69
  6. Step 6: Final answer
    x = 6,291.57

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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.