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Finding the Fourth Proportional to 12,646.58, 17,458.35 and 7,340.54

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Solution

The fourth proportional to 12,646.58, 17,458.35 and 7,340.54 is: 10,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.58 : 17,458.35 = 7,340.54 : x
  2. Step 2: Convert to fraction form
    12,646.58/17,458.35 = 7,340.54/x
  3. Step 3: Cross multiply
    12,646.58x = 17,458.35 × 7,340.54
  4. Step 4: Simplify right side
    12,646.58x = 128,153,716.51
  5. Step 5: Solve for x
    x = 128,153,716.51/12,646.58
  6. Step 6: Final answer
    x = 10,133.47

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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.