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Finding the Fourth Proportional to 9,671.40, 14,468.83 and 7,782.08

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Solution

The fourth proportional to 9,671.40, 14,468.83 and 7,782.08 is: 11,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.40 : 14,468.83 = 7,782.08 : x
  2. Step 2: Convert to fraction form
    9,671.40/14,468.83 = 7,782.08/x
  3. Step 3: Cross multiply
    9,671.40x = 14,468.83 × 7,782.08
  4. Step 4: Simplify right side
    9,671.40x = 112,597,500.77
  5. Step 5: Solve for x
    x = 112,597,500.77/9,671.40
  6. Step 6: Final answer
    x = 11,642.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.