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Finding the Fourth Proportional to 10,172.52, 14,005.44 and 7,931.52

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Solution

The fourth proportional to 10,172.52, 14,005.44 and 7,931.52 is: 10,920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.52 : 14,005.44 = 7,931.52 : x
  2. Step 2: Convert to fraction form
    10,172.52/14,005.44 = 7,931.52/x
  3. Step 3: Cross multiply
    10,172.52x = 14,005.44 × 7,931.52
  4. Step 4: Simplify right side
    10,172.52x = 111,084,427.47
  5. Step 5: Solve for x
    x = 111,084,427.47/10,172.52
  6. Step 6: Final answer
    x = 10,920.05

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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.