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Finding the Fourth Proportional to 9,459.63, 13,040.65 and 6,618.20

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Solution

The fourth proportional to 9,459.63, 13,040.65 and 6,618.20 is: 9,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.63 : 13,040.65 = 6,618.20 : x
  2. Step 2: Convert to fraction form
    9,459.63/13,040.65 = 6,618.20/x
  3. Step 3: Cross multiply
    9,459.63x = 13,040.65 × 6,618.20
  4. Step 4: Simplify right side
    9,459.63x = 86,305,646.25
  5. Step 5: Solve for x
    x = 86,305,646.25/9,459.63
  6. Step 6: Final answer
    x = 9,123.58

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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.