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Finding the Fourth Proportional to 28,260, 42,390 and 7,483.50

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Solution

The fourth proportional to 28,260, 42,390 and 7,483.50 is: 11,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,260 : 42,390 = 7,483.50 : x
  2. Step 2: Convert to fraction form
    28,260/42,390 = 7,483.50/x
  3. Step 3: Cross multiply
    28,260x = 42,390 × 7,483.50
  4. Step 4: Simplify right side
    28,260x = 317,225,565
  5. Step 5: Solve for x
    x = 317,225,565/28,260
  6. Step 6: Final answer
    x = 11,225.25

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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.