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Finding the Fourth Proportional to 9,312.89, 12,852 and 5,064.19

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Solution

The fourth proportional to 9,312.89, 12,852 and 5,064.19 is: 6,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.89 : 12,852 = 5,064.19 : x
  2. Step 2: Convert to fraction form
    9,312.89/12,852 = 5,064.19/x
  3. Step 3: Cross multiply
    9,312.89x = 12,852 × 5,064.19
  4. Step 4: Simplify right side
    9,312.89x = 65,084,937.75
  5. Step 5: Solve for x
    x = 65,084,937.75/9,312.89
  6. Step 6: Final answer
    x = 6,988.70

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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.