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Finding the Fourth Proportional to 7,347.84, 10,137.96 and 6,978.48

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Solution

The fourth proportional to 7,347.84, 10,137.96 and 6,978.48 is: 9,628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.84 : 10,137.96 = 6,978.48 : x
  2. Step 2: Convert to fraction form
    7,347.84/10,137.96 = 6,978.48/x
  3. Step 3: Cross multiply
    7,347.84x = 10,137.96 × 6,978.48
  4. Step 4: Simplify right side
    7,347.84x = 70,747,551.10
  5. Step 5: Solve for x
    x = 70,747,551.10/7,347.84
  6. Step 6: Final answer
    x = 9,628.35

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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.