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Finding the Fourth Proportional to 8,995.76, 12,408.06 and 7,814.78

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Solution

The fourth proportional to 8,995.76, 12,408.06 and 7,814.78 is: 10,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,995.76 : 12,408.06 = 7,814.78 : x
  2. Step 2: Convert to fraction form
    8,995.76/12,408.06 = 7,814.78/x
  3. Step 3: Cross multiply
    8,995.76x = 12,408.06 × 7,814.78
  4. Step 4: Simplify right side
    8,995.76x = 96,966,259.13
  5. Step 5: Solve for x
    x = 96,966,259.13/8,995.76
  6. Step 6: Final answer
    x = 10,779.11

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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.