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Finding the Fourth Proportional to 5,312.88, 7,968.60 and 1,417.32

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Solution

The fourth proportional to 5,312.88, 7,968.60 and 1,417.32 is: 2,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.88 : 7,968.60 = 1,417.32 : x
  2. Step 2: Convert to fraction form
    5,312.88/7,968.60 = 1,417.32/x
  3. Step 3: Cross multiply
    5,312.88x = 7,968.60 × 1,417.32
  4. Step 4: Simplify right side
    5,312.88x = 11,294,056.15
  5. Step 5: Solve for x
    x = 11,294,056.15/5,312.88
  6. Step 6: Final answer
    x = 2,125.79

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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.