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Finding the Fourth Proportional to 9,291.80, 13,937.16 and 7,828.40

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Solution

The fourth proportional to 9,291.80, 13,937.16 and 7,828.40 is: 11,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.80 : 13,937.16 = 7,828.40 : x
  2. Step 2: Convert to fraction form
    9,291.80/13,937.16 = 7,828.40/x
  3. Step 3: Cross multiply
    9,291.80x = 13,937.16 × 7,828.40
  4. Step 4: Simplify right side
    9,291.80x = 109,105,663.34
  5. Step 5: Solve for x
    x = 109,105,663.34/9,291.80
  6. Step 6: Final answer
    x = 11,742.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.