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Finding the Fourth Proportional to 9,776.57, 13,488.13 and 6,421.20

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Solution

The fourth proportional to 9,776.57, 13,488.13 and 6,421.20 is: 8,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.57 : 13,488.13 = 6,421.20 : x
  2. Step 2: Convert to fraction form
    9,776.57/13,488.13 = 6,421.20/x
  3. Step 3: Cross multiply
    9,776.57x = 13,488.13 × 6,421.20
  4. Step 4: Simplify right side
    9,776.57x = 86,609,964.30
  5. Step 5: Solve for x
    x = 86,609,964.30/9,776.57
  6. Step 6: Final answer
    x = 8,858.93

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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.