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Finding the Fourth Proportional to 12,156.51, 16,759.33 and 7,678.02

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Solution

The fourth proportional to 12,156.51, 16,759.33 and 7,678.02 is: 10,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.51 : 16,759.33 = 7,678.02 : x
  2. Step 2: Convert to fraction form
    12,156.51/16,759.33 = 7,678.02/x
  3. Step 3: Cross multiply
    12,156.51x = 16,759.33 × 7,678.02
  4. Step 4: Simplify right side
    12,156.51x = 128,678,417.68
  5. Step 5: Solve for x
    x = 128,678,417.68/12,156.51
  6. Step 6: Final answer
    x = 10,585.15

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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.