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Finding the Fourth Proportional to 10,143.53, 13,991.03 and 9,307.00

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Solution

The fourth proportional to 10,143.53, 13,991.03 and 9,307.00 is: 12,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.53 : 13,991.03 = 9,307.00 : x
  2. Step 2: Convert to fraction form
    10,143.53/13,991.03 = 9,307.00/x
  3. Step 3: Cross multiply
    10,143.53x = 13,991.03 × 9,307.00
  4. Step 4: Simplify right side
    10,143.53x = 130,214,522.07
  5. Step 5: Solve for x
    x = 130,214,522.07/10,143.53
  6. Step 6: Final answer
    x = 12,837.20

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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.