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Finding the Fourth Proportional to 9,530.63, 13,125.08 and 8,578.31

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Solution

The fourth proportional to 9,530.63, 13,125.08 and 8,578.31 is: 11,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.63 : 13,125.08 = 8,578.31 : x
  2. Step 2: Convert to fraction form
    9,530.63/13,125.08 = 8,578.31/x
  3. Step 3: Cross multiply
    9,530.63x = 13,125.08 × 8,578.31
  4. Step 4: Simplify right side
    9,530.63x = 112,590,950.76
  5. Step 5: Solve for x
    x = 112,590,950.76/9,530.63
  6. Step 6: Final answer
    x = 11,813.59

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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.