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Finding the Fourth Proportional to 7,653.81, 10,561 and 4,509.57

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Solution

The fourth proportional to 7,653.81, 10,561 and 4,509.57 is: 6,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.81 : 10,561 = 4,509.57 : x
  2. Step 2: Convert to fraction form
    7,653.81/10,561 = 4,509.57/x
  3. Step 3: Cross multiply
    7,653.81x = 10,561 × 4,509.57
  4. Step 4: Simplify right side
    7,653.81x = 47,625,568.77
  5. Step 5: Solve for x
    x = 47,625,568.77/7,653.81
  6. Step 6: Final answer
    x = 6,222.47

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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.