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Finding the Fourth Proportional to 12,391, 17,099.70 and 6,802.12

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Solution

The fourth proportional to 12,391, 17,099.70 and 6,802.12 is: 9,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391 : 17,099.70 = 6,802.12 : x
  2. Step 2: Convert to fraction form
    12,391/17,099.70 = 6,802.12/x
  3. Step 3: Cross multiply
    12,391x = 17,099.70 × 6,802.12
  4. Step 4: Simplify right side
    12,391x = 116,314,211.36
  5. Step 5: Solve for x
    x = 116,314,211.36/12,391
  6. Step 6: Final answer
    x = 9,386.99

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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.