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Finding the Fourth Proportional to 7,264.40, 10,880.40 and 7,102.40

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Solution

The fourth proportional to 7,264.40, 10,880.40 and 7,102.40 is: 10,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.40 : 10,880.40 = 7,102.40 : x
  2. Step 2: Convert to fraction form
    7,264.40/10,880.40 = 7,102.40/x
  3. Step 3: Cross multiply
    7,264.40x = 10,880.40 × 7,102.40
  4. Step 4: Simplify right side
    7,264.40x = 77,276,952.96
  5. Step 5: Solve for x
    x = 77,276,952.96/7,264.40
  6. Step 6: Final answer
    x = 10,637.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.