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Finding the Fourth Proportional to 12,677.94, 17,495.55 and 6,935.40

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Solution

The fourth proportional to 12,677.94, 17,495.55 and 6,935.40 is: 9,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.94 : 17,495.55 = 6,935.40 : x
  2. Step 2: Convert to fraction form
    12,677.94/17,495.55 = 6,935.40/x
  3. Step 3: Cross multiply
    12,677.94x = 17,495.55 × 6,935.40
  4. Step 4: Simplify right side
    12,677.94x = 121,338,637.47
  5. Step 5: Solve for x
    x = 121,338,637.47/12,677.94
  6. Step 6: Final answer
    x = 9,570.85

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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.