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Finding the Fourth Proportional to 12,356.52, 17,043.14 and 7,875.64

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Solution

The fourth proportional to 12,356.52, 17,043.14 and 7,875.64 is: 10,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.52 : 17,043.14 = 7,875.64 : x
  2. Step 2: Convert to fraction form
    12,356.52/17,043.14 = 7,875.64/x
  3. Step 3: Cross multiply
    12,356.52x = 17,043.14 × 7,875.64
  4. Step 4: Simplify right side
    12,356.52x = 134,225,635.11
  5. Step 5: Solve for x
    x = 134,225,635.11/12,356.52
  6. Step 6: Final answer
    x = 10,862.74

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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.