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Finding the Fourth Proportional to 25,966.32, 38,955.06 and 8,435.76

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Solution

The fourth proportional to 25,966.32, 38,955.06 and 8,435.76 is: 12,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966.32 : 38,955.06 = 8,435.76 : x
  2. Step 2: Convert to fraction form
    25,966.32/38,955.06 = 8,435.76/x
  3. Step 3: Cross multiply
    25,966.32x = 38,955.06 × 8,435.76
  4. Step 4: Simplify right side
    25,966.32x = 328,615,536.95
  5. Step 5: Solve for x
    x = 328,615,536.95/25,966.32
  6. Step 6: Final answer
    x = 12,655.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.