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Finding the Fourth Proportional to 8,605.76, 11,875.25 and 4,828.40

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Solution

The fourth proportional to 8,605.76, 11,875.25 and 4,828.40 is: 6,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.76 : 11,875.25 = 4,828.40 : x
  2. Step 2: Convert to fraction form
    8,605.76/11,875.25 = 4,828.40/x
  3. Step 3: Cross multiply
    8,605.76x = 11,875.25 × 4,828.40
  4. Step 4: Simplify right side
    8,605.76x = 57,338,457.10
  5. Step 5: Solve for x
    x = 57,338,457.10/8,605.76
  6. Step 6: Final answer
    x = 6,662.80

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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.