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Finding the Fourth Proportional to 13,008.84, 17,951.06 and 7,702.76

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Solution

The fourth proportional to 13,008.84, 17,951.06 and 7,702.76 is: 10,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.84 : 17,951.06 = 7,702.76 : x
  2. Step 2: Convert to fraction form
    13,008.84/17,951.06 = 7,702.76/x
  3. Step 3: Cross multiply
    13,008.84x = 17,951.06 × 7,702.76
  4. Step 4: Simplify right side
    13,008.84x = 138,272,706.93
  5. Step 5: Solve for x
    x = 138,272,706.93/13,008.84
  6. Step 6: Final answer
    x = 10,629.13

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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.