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Finding the Fourth Proportional to 9,858.51, 14,771.34 and 6,931.58

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Solution

The fourth proportional to 9,858.51, 14,771.34 and 6,931.58 is: 10,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.51 : 14,771.34 = 6,931.58 : x
  2. Step 2: Convert to fraction form
    9,858.51/14,771.34 = 6,931.58/x
  3. Step 3: Cross multiply
    9,858.51x = 14,771.34 × 6,931.58
  4. Step 4: Simplify right side
    9,858.51x = 102,388,651.06
  5. Step 5: Solve for x
    x = 102,388,651.06/9,858.51
  6. Step 6: Final answer
    x = 10,385.81

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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.