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Finding the Fourth Proportional to 10,838.64, 14,957.64 and 6,123.12

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Solution

The fourth proportional to 10,838.64, 14,957.64 and 6,123.12 is: 8,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.64 : 14,957.64 = 6,123.12 : x
  2. Step 2: Convert to fraction form
    10,838.64/14,957.64 = 6,123.12/x
  3. Step 3: Cross multiply
    10,838.64x = 14,957.64 × 6,123.12
  4. Step 4: Simplify right side
    10,838.64x = 91,587,424.64
  5. Step 5: Solve for x
    x = 91,587,424.64/10,838.64
  6. Step 6: Final answer
    x = 8,450.08

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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.