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Finding the Fourth Proportional to 7,266.30, 10,915.65 and 7,071.90

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Solution

The fourth proportional to 7,266.30, 10,915.65 and 7,071.90 is: 10,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.30 : 10,915.65 = 7,071.90 : x
  2. Step 2: Convert to fraction form
    7,266.30/10,915.65 = 7,071.90/x
  3. Step 3: Cross multiply
    7,266.30x = 10,915.65 × 7,071.90
  4. Step 4: Simplify right side
    7,266.30x = 77,194,385.24
  5. Step 5: Solve for x
    x = 77,194,385.24/7,266.30
  6. Step 6: Final answer
    x = 10,623.62

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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.