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Finding the Fourth Proportional to 9,875.04, 13,629.20 and 5,682.40

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Solution

The fourth proportional to 9,875.04, 13,629.20 and 5,682.40 is: 7,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.04 : 13,629.20 = 5,682.40 : x
  2. Step 2: Convert to fraction form
    9,875.04/13,629.20 = 5,682.40/x
  3. Step 3: Cross multiply
    9,875.04x = 13,629.20 × 5,682.40
  4. Step 4: Simplify right side
    9,875.04x = 77,446,566.08
  5. Step 5: Solve for x
    x = 77,446,566.08/9,875.04
  6. Step 6: Final answer
    x = 7,842.66

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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.