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Finding the Fourth Proportional to 5,259.60, 7,873.20 and 4,320

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Solution

The fourth proportional to 5,259.60, 7,873.20 and 4,320 is: 6,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.60 : 7,873.20 = 4,320 : x
  2. Step 2: Convert to fraction form
    5,259.60/7,873.20 = 4,320/x
  3. Step 3: Cross multiply
    5,259.60x = 7,873.20 × 4,320
  4. Step 4: Simplify right side
    5,259.60x = 34,012,224
  5. Step 5: Solve for x
    x = 34,012,224/5,259.60
  6. Step 6: Final answer
    x = 6,466.69

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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.