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Finding the Fourth Proportional to 9,857.67, 13,588.47 and 7,865.07

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Solution

The fourth proportional to 9,857.67, 13,588.47 and 7,865.07 is: 10,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.67 : 13,588.47 = 7,865.07 : x
  2. Step 2: Convert to fraction form
    9,857.67/13,588.47 = 7,865.07/x
  3. Step 3: Cross multiply
    9,857.67x = 13,588.47 × 7,865.07
  4. Step 4: Simplify right side
    9,857.67x = 106,874,267.74
  5. Step 5: Solve for x
    x = 106,874,267.74/9,857.67
  6. Step 6: Final answer
    x = 10,841.74

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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.