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Finding the Fourth Proportional to 12,854.31, 17,738.02 and 7,548.40

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Solution

The fourth proportional to 12,854.31, 17,738.02 and 7,548.40 is: 10,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.31 : 17,738.02 = 7,548.40 : x
  2. Step 2: Convert to fraction form
    12,854.31/17,738.02 = 7,548.40/x
  3. Step 3: Cross multiply
    12,854.31x = 17,738.02 × 7,548.40
  4. Step 4: Simplify right side
    12,854.31x = 133,893,670.17
  5. Step 5: Solve for x
    x = 133,893,670.17/12,854.31
  6. Step 6: Final answer
    x = 10,416.25

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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.