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Finding the Fourth Proportional to 10,559, 15,838.70 and 3,988.28

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Solution

The fourth proportional to 10,559, 15,838.70 and 3,988.28 is: 5,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559 : 15,838.70 = 3,988.28 : x
  2. Step 2: Convert to fraction form
    10,559/15,838.70 = 3,988.28/x
  3. Step 3: Cross multiply
    10,559x = 15,838.70 × 3,988.28
  4. Step 4: Simplify right side
    10,559x = 63,169,170.44
  5. Step 5: Solve for x
    x = 63,169,170.44/10,559
  6. Step 6: Final answer
    x = 5,982.50

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1.5x scale

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.