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Finding the Fourth Proportional to 7,248, 9,972 and 6,460.32

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Solution

The fourth proportional to 7,248, 9,972 and 6,460.32 is: 8,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248 : 9,972 = 6,460.32 : x
  2. Step 2: Convert to fraction form
    7,248/9,972 = 6,460.32/x
  3. Step 3: Cross multiply
    7,248x = 9,972 × 6,460.32
  4. Step 4: Simplify right side
    7,248x = 64,422,311.04
  5. Step 5: Solve for x
    x = 64,422,311.04/7,248
  6. Step 6: Final answer
    x = 8,888.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.