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Finding the Fourth Proportional to 14,070.96, 19,417.12 and 7,782.96

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Solution

The fourth proportional to 14,070.96, 19,417.12 and 7,782.96 is: 10,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.96 : 19,417.12 = 7,782.96 : x
  2. Step 2: Convert to fraction form
    14,070.96/19,417.12 = 7,782.96/x
  3. Step 3: Cross multiply
    14,070.96x = 19,417.12 × 7,782.96
  4. Step 4: Simplify right side
    14,070.96x = 151,122,668.28
  5. Step 5: Solve for x
    x = 151,122,668.28/14,070.96
  6. Step 6: Final answer
    x = 10,740.04

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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.