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Finding the Fourth Proportional to 10,623, 14,659.76 and 5,908.40

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Solution

The fourth proportional to 10,623, 14,659.76 and 5,908.40 is: 8,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623 : 14,659.76 = 5,908.40 : x
  2. Step 2: Convert to fraction form
    10,623/14,659.76 = 5,908.40/x
  3. Step 3: Cross multiply
    10,623x = 14,659.76 × 5,908.40
  4. Step 4: Simplify right side
    10,623x = 86,615,725.98
  5. Step 5: Solve for x
    x = 86,615,725.98/10,623
  6. Step 6: Final answer
    x = 8,153.60

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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.