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Finding the Fourth Proportional to 10,807.64, 14,915.64 and 6,777.32

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Solution

The fourth proportional to 10,807.64, 14,915.64 and 6,777.32 is: 9,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.64 : 14,915.64 = 6,777.32 : x
  2. Step 2: Convert to fraction form
    10,807.64/14,915.64 = 6,777.32/x
  3. Step 3: Cross multiply
    10,807.64x = 14,915.64 × 6,777.32
  4. Step 4: Simplify right side
    10,807.64x = 101,088,065.28
  5. Step 5: Solve for x
    x = 101,088,065.28/10,807.64
  6. Step 6: Final answer
    x = 9,353.39

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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.