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Finding the Fourth Proportional to 4,337.50, 6,507.60 and 1,259.50

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Solution

The fourth proportional to 4,337.50, 6,507.60 and 1,259.50 is: 1,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.50 : 6,507.60 = 1,259.50 : x
  2. Step 2: Convert to fraction form
    4,337.50/6,507.60 = 1,259.50/x
  3. Step 3: Cross multiply
    4,337.50x = 6,507.60 × 1,259.50
  4. Step 4: Simplify right side
    4,337.50x = 8,196,322.20
  5. Step 5: Solve for x
    x = 8,196,322.20/4,337.50
  6. Step 6: Final answer
    x = 1,889.64

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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.