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Finding the Fourth Proportional to 8,673.60, 13,000.80 and 4,977.60

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Solution

The fourth proportional to 8,673.60, 13,000.80 and 4,977.60 is: 7,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.60 : 13,000.80 = 4,977.60 : x
  2. Step 2: Convert to fraction form
    8,673.60/13,000.80 = 4,977.60/x
  3. Step 3: Cross multiply
    8,673.60x = 13,000.80 × 4,977.60
  4. Step 4: Simplify right side
    8,673.60x = 64,712,782.08
  5. Step 5: Solve for x
    x = 64,712,782.08/8,673.60
  6. Step 6: Final answer
    x = 7,460.89

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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.