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Finding the Fourth Proportional to 10,551.64, 15,809.88 and 7,426.06

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Solution

The fourth proportional to 10,551.64, 15,809.88 and 7,426.06 is: 11,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.64 : 15,809.88 = 7,426.06 : x
  2. Step 2: Convert to fraction form
    10,551.64/15,809.88 = 7,426.06/x
  3. Step 3: Cross multiply
    10,551.64x = 15,809.88 × 7,426.06
  4. Step 4: Simplify right side
    10,551.64x = 117,405,117.47
  5. Step 5: Solve for x
    x = 117,405,117.47/10,551.64
  6. Step 6: Final answer
    x = 11,126.72

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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.