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Finding the Fourth Proportional to 28,424.64, 42,642.23 and 9,703.65

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Solution

The fourth proportional to 28,424.64, 42,642.23 and 9,703.65 is: 14,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424.64 : 42,642.23 = 9,703.65 : x
  2. Step 2: Convert to fraction form
    28,424.64/42,642.23 = 9,703.65/x
  3. Step 3: Cross multiply
    28,424.64x = 42,642.23 × 9,703.65
  4. Step 4: Simplify right side
    28,424.64x = 413,785,226.62
  5. Step 5: Solve for x
    x = 413,785,226.62/28,424.64
  6. Step 6: Final answer
    x = 14,557.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.