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Finding the Fourth Proportional to 12,564.68, 17,346.78 and 7,855.34

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Solution

The fourth proportional to 12,564.68, 17,346.78 and 7,855.34 is: 10,845.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.68 : 17,346.78 = 7,855.34 : x
  2. Step 2: Convert to fraction form
    12,564.68/17,346.78 = 7,855.34/x
  3. Step 3: Cross multiply
    12,564.68x = 17,346.78 × 7,855.34
  4. Step 4: Simplify right side
    12,564.68x = 136,264,854.81
  5. Step 5: Solve for x
    x = 136,264,854.81/12,564.68
  6. Step 6: Final answer
    x = 10,845.07

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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.