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Finding the Fourth Proportional to 9,977.60, 13,773.12 and 7,291.28

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Solution

The fourth proportional to 9,977.60, 13,773.12 and 7,291.28 is: 10,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.60 : 13,773.12 = 7,291.28 : x
  2. Step 2: Convert to fraction form
    9,977.60/13,773.12 = 7,291.28/x
  3. Step 3: Cross multiply
    9,977.60x = 13,773.12 × 7,291.28
  4. Step 4: Simplify right side
    9,977.60x = 100,423,674.39
  5. Step 5: Solve for x
    x = 100,423,674.39/9,977.60
  6. Step 6: Final answer
    x = 10,064.91

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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.