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Finding the Fourth Proportional to 7,076, 10,539.26 and 6,705.92

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Solution

The fourth proportional to 7,076, 10,539.26 and 6,705.92 is: 9,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076 : 10,539.26 = 6,705.92 : x
  2. Step 2: Convert to fraction form
    7,076/10,539.26 = 6,705.92/x
  3. Step 3: Cross multiply
    7,076x = 10,539.26 × 6,705.92
  4. Step 4: Simplify right side
    7,076x = 70,675,434.42
  5. Step 5: Solve for x
    x = 70,675,434.42/7,076
  6. Step 6: Final answer
    x = 9,988.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.