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Finding the Fourth Proportional to 8,609, 11,875.88 and 7,108.16

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Solution

The fourth proportional to 8,609, 11,875.88 and 7,108.16 is: 9,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609 : 11,875.88 = 7,108.16 : x
  2. Step 2: Convert to fraction form
    8,609/11,875.88 = 7,108.16/x
  3. Step 3: Cross multiply
    8,609x = 11,875.88 × 7,108.16
  4. Step 4: Simplify right side
    8,609x = 84,415,655.18
  5. Step 5: Solve for x
    x = 84,415,655.18/8,609
  6. Step 6: Final answer
    x = 9,805.51

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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.