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Finding the Fourth Proportional to 7,713.30, 11,509.35 and 7,243.10

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Solution

The fourth proportional to 7,713.30, 11,509.35 and 7,243.10 is: 10,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.30 : 11,509.35 = 7,243.10 : x
  2. Step 2: Convert to fraction form
    7,713.30/11,509.35 = 7,243.10/x
  3. Step 3: Cross multiply
    7,713.30x = 11,509.35 × 7,243.10
  4. Step 4: Simplify right side
    7,713.30x = 83,363,315.44
  5. Step 5: Solve for x
    x = 83,363,315.44/7,713.30
  6. Step 6: Final answer
    x = 10,807.74

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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.