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Finding the Fourth Proportional to 12,827.61, 17,702.17 and 7,522.51

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Solution

The fourth proportional to 12,827.61, 17,702.17 and 7,522.51 is: 10,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.61 : 17,702.17 = 7,522.51 : x
  2. Step 2: Convert to fraction form
    12,827.61/17,702.17 = 7,522.51/x
  3. Step 3: Cross multiply
    12,827.61x = 17,702.17 × 7,522.51
  4. Step 4: Simplify right side
    12,827.61x = 133,164,750.85
  5. Step 5: Solve for x
    x = 133,164,750.85/12,827.61
  6. Step 6: Final answer
    x = 10,381.10

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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.