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Finding the Fourth Proportional to 6,509.85, 8,985.69 and 4,830.72

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Solution

The fourth proportional to 6,509.85, 8,985.69 and 4,830.72 is: 6,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.85 : 8,985.69 = 4,830.72 : x
  2. Step 2: Convert to fraction form
    6,509.85/8,985.69 = 4,830.72/x
  3. Step 3: Cross multiply
    6,509.85x = 8,985.69 × 4,830.72
  4. Step 4: Simplify right side
    6,509.85x = 43,407,352.40
  5. Step 5: Solve for x
    x = 43,407,352.40/6,509.85
  6. Step 6: Final answer
    x = 6,667.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.