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Finding the Fourth Proportional to 8,491.06, 11,703.09 and 7,307.38

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Solution

The fourth proportional to 8,491.06, 11,703.09 and 7,307.38 is: 10,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.06 : 11,703.09 = 7,307.38 : x
  2. Step 2: Convert to fraction form
    8,491.06/11,703.09 = 7,307.38/x
  3. Step 3: Cross multiply
    8,491.06x = 11,703.09 × 7,307.38
  4. Step 4: Simplify right side
    8,491.06x = 85,518,925.80
  5. Step 5: Solve for x
    x = 85,518,925.80/8,491.06
  6. Step 6: Final answer
    x = 10,071.64

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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.