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Finding the Fourth Proportional to 28,202.64, 42,306.04 and 7,426

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Solution

The fourth proportional to 28,202.64, 42,306.04 and 7,426 is: 11,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,202.64 : 42,306.04 = 7,426 : x
  2. Step 2: Convert to fraction form
    28,202.64/42,306.04 = 7,426/x
  3. Step 3: Cross multiply
    28,202.64x = 42,306.04 × 7,426
  4. Step 4: Simplify right side
    28,202.64x = 314,164,653.04
  5. Step 5: Solve for x
    x = 314,164,653.04/28,202.64
  6. Step 6: Final answer
    x = 11,139.55

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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.