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Finding the Fourth Proportional to 3,312.16, 4,969 and 972.12

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Solution

The fourth proportional to 3,312.16, 4,969 and 972.12 is: 1,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.16 : 4,969 = 972.12 : x
  2. Step 2: Convert to fraction form
    3,312.16/4,969 = 972.12/x
  3. Step 3: Cross multiply
    3,312.16x = 4,969 × 972.12
  4. Step 4: Simplify right side
    3,312.16x = 4,830,464.28
  5. Step 5: Solve for x
    x = 4,830,464.28/3,312.16
  6. Step 6: Final answer
    x = 1,458.40

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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.