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Finding the Fourth Proportional to 9,776.51, 13,488.04 and 6,421.14

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Solution

The fourth proportional to 9,776.51, 13,488.04 and 6,421.14 is: 8,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.51 : 13,488.04 = 6,421.14 : x
  2. Step 2: Convert to fraction form
    9,776.51/13,488.04 = 6,421.14/x
  3. Step 3: Cross multiply
    9,776.51x = 13,488.04 × 6,421.14
  4. Step 4: Simplify right side
    9,776.51x = 86,608,577.11
  5. Step 5: Solve for x
    x = 86,608,577.11/9,776.51
  6. Step 6: Final answer
    x = 8,858.85

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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.