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Finding the Fourth Proportional to 28,023, 42,041.16 and 9,555

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Solution

The fourth proportional to 28,023, 42,041.16 and 9,555 is: 14,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,023 : 42,041.16 = 9,555 : x
  2. Step 2: Convert to fraction form
    28,023/42,041.16 = 9,555/x
  3. Step 3: Cross multiply
    28,023x = 42,041.16 × 9,555
  4. Step 4: Simplify right side
    28,023x = 401,703,283.80
  5. Step 5: Solve for x
    x = 401,703,283.80/28,023
  6. Step 6: Final answer
    x = 14,334.77

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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.