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Finding the Fourth Proportional to 7,710.30, 11,504.88 and 7,240.10

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Solution

The fourth proportional to 7,710.30, 11,504.88 and 7,240.10 is: 10,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.30 : 11,504.88 = 7,240.10 : x
  2. Step 2: Convert to fraction form
    7,710.30/11,504.88 = 7,240.10/x
  3. Step 3: Cross multiply
    7,710.30x = 11,504.88 × 7,240.10
  4. Step 4: Simplify right side
    7,710.30x = 83,296,424.16
  5. Step 5: Solve for x
    x = 83,296,424.16/7,710.30
  6. Step 6: Final answer
    x = 10,803.27

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1.5x scale

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.