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Finding the Fourth Proportional to 28,080, 42,122.43 and 7,303.50

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Solution

The fourth proportional to 28,080, 42,122.43 and 7,303.50 is: 10,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,080 : 42,122.43 = 7,303.50 : x
  2. Step 2: Convert to fraction form
    28,080/42,122.43 = 7,303.50/x
  3. Step 3: Cross multiply
    28,080x = 42,122.43 × 7,303.50
  4. Step 4: Simplify right side
    28,080x = 307,641,167.51
  5. Step 5: Solve for x
    x = 307,641,167.51/28,080
  6. Step 6: Final answer
    x = 10,955.88

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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.