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Finding the Fourth Proportional to 14,158.86, 19,539.29 and 7,785.86

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Solution

The fourth proportional to 14,158.86, 19,539.29 and 7,785.86 is: 10,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.86 : 19,539.29 = 7,785.86 : x
  2. Step 2: Convert to fraction form
    14,158.86/19,539.29 = 7,785.86/x
  3. Step 3: Cross multiply
    14,158.86x = 19,539.29 × 7,785.86
  4. Step 4: Simplify right side
    14,158.86x = 152,130,098.21
  5. Step 5: Solve for x
    x = 152,130,098.21/14,158.86
  6. Step 6: Final answer
    x = 10,744.52

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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.