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Finding the Fourth Proportional to 9,775.58, 13,486.74 and 6,420.20

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Solution

The fourth proportional to 9,775.58, 13,486.74 and 6,420.20 is: 8,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.58 : 13,486.74 = 6,420.20 : x
  2. Step 2: Convert to fraction form
    9,775.58/13,486.74 = 6,420.20/x
  3. Step 3: Cross multiply
    9,775.58x = 13,486.74 × 6,420.20
  4. Step 4: Simplify right side
    9,775.58x = 86,587,500.71
  5. Step 5: Solve for x
    x = 86,587,500.71/9,775.58
  6. Step 6: Final answer
    x = 8,857.54

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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.