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Finding the Fourth Proportional to 12,859.64, 17,756.37 and 9,870.74

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Solution

The fourth proportional to 12,859.64, 17,756.37 and 9,870.74 is: 13,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.64 : 17,756.37 = 9,870.74 : x
  2. Step 2: Convert to fraction form
    12,859.64/17,756.37 = 9,870.74/x
  3. Step 3: Cross multiply
    12,859.64x = 17,756.37 × 9,870.74
  4. Step 4: Simplify right side
    12,859.64x = 175,268,373.48
  5. Step 5: Solve for x
    x = 175,268,373.48/12,859.64
  6. Step 6: Final answer
    x = 13,629.34

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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.