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Finding the Fourth Proportional to 12,858.84, 17,747.37 and 7,484.40

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Solution

The fourth proportional to 12,858.84, 17,747.37 and 7,484.40 is: 10,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.84 : 17,747.37 = 7,484.40 : x
  2. Step 2: Convert to fraction form
    12,858.84/17,747.37 = 7,484.40/x
  3. Step 3: Cross multiply
    12,858.84x = 17,747.37 × 7,484.40
  4. Step 4: Simplify right side
    12,858.84x = 132,828,416.03
  5. Step 5: Solve for x
    x = 132,828,416.03/12,858.84
  6. Step 6: Final answer
    x = 10,329.74

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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.