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Finding the Fourth Proportional to 9,427.68, 14,072.40 and 8,320.68

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Solution

The fourth proportional to 9,427.68, 14,072.40 and 8,320.68 is: 12,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.68 : 14,072.40 = 8,320.68 : x
  2. Step 2: Convert to fraction form
    9,427.68/14,072.40 = 8,320.68/x
  3. Step 3: Cross multiply
    9,427.68x = 14,072.40 × 8,320.68
  4. Step 4: Simplify right side
    9,427.68x = 117,091,937.23
  5. Step 5: Solve for x
    x = 117,091,937.23/9,427.68
  6. Step 6: Final answer
    x = 12,420.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.