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Finding the Fourth Proportional to 9,778.40, 13,485.44 and 7,678.88

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Solution

The fourth proportional to 9,778.40, 13,485.44 and 7,678.88 is: 10,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.40 : 13,485.44 = 7,678.88 : x
  2. Step 2: Convert to fraction form
    9,778.40/13,485.44 = 7,678.88/x
  3. Step 3: Cross multiply
    9,778.40x = 13,485.44 × 7,678.88
  4. Step 4: Simplify right side
    9,778.40x = 103,553,075.51
  5. Step 5: Solve for x
    x = 103,553,075.51/9,778.40
  6. Step 6: Final answer
    x = 10,589.98

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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.