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Finding the Fourth Proportional to 14,585.71, 20,159.34 and 12,857.98

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Solution

The fourth proportional to 14,585.71, 20,159.34 and 12,857.98 is: 17,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.71 : 20,159.34 = 12,857.98 : x
  2. Step 2: Convert to fraction form
    14,585.71/20,159.34 = 12,857.98/x
  3. Step 3: Cross multiply
    14,585.71x = 20,159.34 × 12,857.98
  4. Step 4: Simplify right side
    14,585.71x = 259,208,390.53
  5. Step 5: Solve for x
    x = 259,208,390.53/14,585.71
  6. Step 6: Final answer
    x = 17,771.39

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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.