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Finding the Fourth Proportional to 12,784.16, 17,646.95 and 7,480.68

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Solution

The fourth proportional to 12,784.16, 17,646.95 and 7,480.68 is: 10,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.16 : 17,646.95 = 7,480.68 : x
  2. Step 2: Convert to fraction form
    12,784.16/17,646.95 = 7,480.68/x
  3. Step 3: Cross multiply
    12,784.16x = 17,646.95 × 7,480.68
  4. Step 4: Simplify right side
    12,784.16x = 132,011,185.93
  5. Step 5: Solve for x
    x = 132,011,185.93/12,784.16
  6. Step 6: Final answer
    x = 10,326.15

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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.