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Finding the Fourth Proportional to 10,803.32, 14,907.54 and 7,972.26

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Solution

The fourth proportional to 10,803.32, 14,907.54 and 7,972.26 is: 11,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.32 : 14,907.54 = 7,972.26 : x
  2. Step 2: Convert to fraction form
    10,803.32/14,907.54 = 7,972.26/x
  3. Step 3: Cross multiply
    10,803.32x = 14,907.54 × 7,972.26
  4. Step 4: Simplify right side
    10,803.32x = 118,846,784.84
  5. Step 5: Solve for x
    x = 118,846,784.84/10,803.32
  6. Step 6: Final answer
    x = 11,000.95

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1.5x scale

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.