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Finding the Fourth Proportional to 30,989.76, 46,477.84 and 8,802.76

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Solution

The fourth proportional to 30,989.76, 46,477.84 and 8,802.76 is: 13,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.76 : 46,477.84 = 8,802.76 : x
  2. Step 2: Convert to fraction form
    30,989.76/46,477.84 = 8,802.76/x
  3. Step 3: Cross multiply
    30,989.76x = 46,477.84 × 8,802.76
  4. Step 4: Simplify right side
    30,989.76x = 409,133,270.84
  5. Step 5: Solve for x
    x = 409,133,270.84/30,989.76
  6. Step 6: Final answer
    x = 13,202.21

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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.