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Finding the Fourth Proportional to 7,754, 10,702.68 and 5,270

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Solution

The fourth proportional to 7,754, 10,702.68 and 5,270 is: 7,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754 : 10,702.68 = 5,270 : x
  2. Step 2: Convert to fraction form
    7,754/10,702.68 = 5,270/x
  3. Step 3: Cross multiply
    7,754x = 10,702.68 × 5,270
  4. Step 4: Simplify right side
    7,754x = 56,403,123.60
  5. Step 5: Solve for x
    x = 56,403,123.60/7,754
  6. Step 6: Final answer
    x = 7,274.07

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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.