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Finding the Fourth Proportional to 11,566.75, 15,989.01 and 10,320.16

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Solution

The fourth proportional to 11,566.75, 15,989.01 and 10,320.16 is: 14,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.75 : 15,989.01 = 10,320.16 : x
  2. Step 2: Convert to fraction form
    11,566.75/15,989.01 = 10,320.16/x
  3. Step 3: Cross multiply
    11,566.75x = 15,989.01 × 10,320.16
  4. Step 4: Simplify right side
    11,566.75x = 165,009,071.49
  5. Step 5: Solve for x
    x = 165,009,071.49/11,566.75
  6. Step 6: Final answer
    x = 14,265.82

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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.