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Finding the Fourth Proportional to 7,885.42, 11,802.61 and 5,804.98

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Solution

The fourth proportional to 7,885.42, 11,802.61 and 5,804.98 is: 8,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.42 : 11,802.61 = 5,804.98 : x
  2. Step 2: Convert to fraction form
    7,885.42/11,802.61 = 5,804.98/x
  3. Step 3: Cross multiply
    7,885.42x = 11,802.61 × 5,804.98
  4. Step 4: Simplify right side
    7,885.42x = 68,513,915.00
  5. Step 5: Solve for x
    x = 68,513,915.00/7,885.42
  6. Step 6: Final answer
    x = 8,688.68

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1.5x scale

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.