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Finding the Fourth Proportional to 10,416.76, 15,643.59 and 9,986.23

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Solution

The fourth proportional to 10,416.76, 15,643.59 and 9,986.23 is: 14,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.76 : 15,643.59 = 9,986.23 : x
  2. Step 2: Convert to fraction form
    10,416.76/15,643.59 = 9,986.23/x
  3. Step 3: Cross multiply
    10,416.76x = 15,643.59 × 9,986.23
  4. Step 4: Simplify right side
    10,416.76x = 156,220,487.77
  5. Step 5: Solve for x
    x = 156,220,487.77/10,416.76
  6. Step 6: Final answer
    x = 14,997.03

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Double scale
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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.