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Finding the Fourth Proportional to 9,325.98, 12,870 and 5,134.14

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Solution

The fourth proportional to 9,325.98, 12,870 and 5,134.14 is: 7,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.98 : 12,870 = 5,134.14 : x
  2. Step 2: Convert to fraction form
    9,325.98/12,870 = 5,134.14/x
  3. Step 3: Cross multiply
    9,325.98x = 12,870 × 5,134.14
  4. Step 4: Simplify right side
    9,325.98x = 66,076,381.80
  5. Step 5: Solve for x
    x = 66,076,381.80/9,325.98
  6. Step 6: Final answer
    x = 7,085.19

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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.