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Finding the Fourth Proportional to 11,289.08, 15,578.90 and 6,509

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Solution

The fourth proportional to 11,289.08, 15,578.90 and 6,509 is: 8,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.08 : 15,578.90 = 6,509 : x
  2. Step 2: Convert to fraction form
    11,289.08/15,578.90 = 6,509/x
  3. Step 3: Cross multiply
    11,289.08x = 15,578.90 × 6,509
  4. Step 4: Simplify right side
    11,289.08x = 101,403,060.10
  5. Step 5: Solve for x
    x = 101,403,060.10/11,289.08
  6. Step 6: Final answer
    x = 8,982.40

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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.