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Finding the Fourth Proportional to 28,978.40, 43,470 and 9,259.76

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Solution

The fourth proportional to 28,978.40, 43,470 and 9,259.76 is: 13,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,978.40 : 43,470 = 9,259.76 : x
  2. Step 2: Convert to fraction form
    28,978.40/43,470 = 9,259.76/x
  3. Step 3: Cross multiply
    28,978.40x = 43,470 × 9,259.76
  4. Step 4: Simplify right side
    28,978.40x = 402,521,767.20
  5. Step 5: Solve for x
    x = 402,521,767.20/28,978.40
  6. Step 6: Final answer
    x = 13,890.41

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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.