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Finding the Fourth Proportional to 14,235.14, 19,643.47 and 7,860.71

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Solution

The fourth proportional to 14,235.14, 19,643.47 and 7,860.71 is: 10,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.14 : 19,643.47 = 7,860.71 : x
  2. Step 2: Convert to fraction form
    14,235.14/19,643.47 = 7,860.71/x
  3. Step 3: Cross multiply
    14,235.14x = 19,643.47 × 7,860.71
  4. Step 4: Simplify right side
    14,235.14x = 154,411,650.52
  5. Step 5: Solve for x
    x = 154,411,650.52/14,235.14
  6. Step 6: Final answer
    x = 10,847.21

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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.