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Finding the Fourth Proportional to 9,899.92, 14,762.51 and 9,811.03

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Solution

The fourth proportional to 9,899.92, 14,762.51 and 9,811.03 is: 14,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.92 : 14,762.51 = 9,811.03 : x
  2. Step 2: Convert to fraction form
    9,899.92/14,762.51 = 9,811.03/x
  3. Step 3: Cross multiply
    9,899.92x = 14,762.51 × 9,811.03
  4. Step 4: Simplify right side
    9,899.92x = 144,835,428.49
  5. Step 5: Solve for x
    x = 144,835,428.49/9,899.92
  6. Step 6: Final answer
    x = 14,629.96

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.