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Finding the Fourth Proportional to 30,989.28, 46,482.84 and 9,929.01

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Solution

The fourth proportional to 30,989.28, 46,482.84 and 9,929.01 is: 14,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.28 : 46,482.84 = 9,929.01 : x
  2. Step 2: Convert to fraction form
    30,989.28/46,482.84 = 9,929.01/x
  3. Step 3: Cross multiply
    30,989.28x = 46,482.84 × 9,929.01
  4. Step 4: Simplify right side
    30,989.28x = 461,528,583.19
  5. Step 5: Solve for x
    x = 461,528,583.19/30,989.28
  6. Step 6: Final answer
    x = 14,893.17

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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.