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Finding the Fourth Proportional to 7,114.64, 9,816.54 and 6,123.20

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Solution

The fourth proportional to 7,114.64, 9,816.54 and 6,123.20 is: 8,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.64 : 9,816.54 = 6,123.20 : x
  2. Step 2: Convert to fraction form
    7,114.64/9,816.54 = 6,123.20/x
  3. Step 3: Cross multiply
    7,114.64x = 9,816.54 × 6,123.20
  4. Step 4: Simplify right side
    7,114.64x = 60,108,637.73
  5. Step 5: Solve for x
    x = 60,108,637.73/7,114.64
  6. Step 6: Final answer
    x = 8,448.58

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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.