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Finding the Fourth Proportional to 7,725, 10,659.85 and 4,368.09

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Solution

The fourth proportional to 7,725, 10,659.85 and 4,368.09 is: 6,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725 : 10,659.85 = 4,368.09 : x
  2. Step 2: Convert to fraction form
    7,725/10,659.85 = 4,368.09/x
  3. Step 3: Cross multiply
    7,725x = 10,659.85 × 4,368.09
  4. Step 4: Simplify right side
    7,725x = 46,563,184.19
  5. Step 5: Solve for x
    x = 46,563,184.19/7,725
  6. Step 6: Final answer
    x = 6,027.60

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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.