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Finding the Fourth Proportional to 10,613.63, 15,914.27 and 7,804.15

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Solution

The fourth proportional to 10,613.63, 15,914.27 and 7,804.15 is: 11,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.63 : 15,914.27 = 7,804.15 : x
  2. Step 2: Convert to fraction form
    10,613.63/15,914.27 = 7,804.15/x
  3. Step 3: Cross multiply
    10,613.63x = 15,914.27 × 7,804.15
  4. Step 4: Simplify right side
    10,613.63x = 124,197,329.95
  5. Step 5: Solve for x
    x = 124,197,329.95/10,613.63
  6. Step 6: Final answer
    x = 11,701.68

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1.5x scale

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.