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Finding the Fourth Proportional to 12,707.51, 17,543.00 and 9,868.51

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Solution

The fourth proportional to 12,707.51, 17,543.00 and 9,868.51 is: 13,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.51 : 17,543.00 = 9,868.51 : x
  2. Step 2: Convert to fraction form
    12,707.51/17,543.00 = 9,868.51/x
  3. Step 3: Cross multiply
    12,707.51x = 17,543.00 × 9,868.51
  4. Step 4: Simplify right side
    12,707.51x = 173,123,177.73
  5. Step 5: Solve for x
    x = 173,123,177.73/12,707.51
  6. Step 6: Final answer
    x = 13,623.70

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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.