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Finding the Fourth Proportional to 30,547.46, 45,821.15 and 8,361.02

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Solution

The fourth proportional to 30,547.46, 45,821.15 and 8,361.02 is: 12,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.46 : 45,821.15 = 8,361.02 : x
  2. Step 2: Convert to fraction form
    30,547.46/45,821.15 = 8,361.02/x
  3. Step 3: Cross multiply
    30,547.46x = 45,821.15 × 8,361.02
  4. Step 4: Simplify right side
    30,547.46x = 383,111,312.02
  5. Step 5: Solve for x
    x = 383,111,312.02/30,547.46
  6. Step 6: Final answer
    x = 12,541.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.