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Finding the Fourth Proportional to 11,345, 15,655.96 and 6,499.08

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Solution

The fourth proportional to 11,345, 15,655.96 and 6,499.08 is: 8,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345 : 15,655.96 = 6,499.08 : x
  2. Step 2: Convert to fraction form
    11,345/15,655.96 = 6,499.08/x
  3. Step 3: Cross multiply
    11,345x = 15,655.96 × 6,499.08
  4. Step 4: Simplify right side
    11,345x = 101,749,336.52
  5. Step 5: Solve for x
    x = 101,749,336.52/11,345
  6. Step 6: Final answer
    x = 8,968.65

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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.