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Finding the Fourth Proportional to 10,754.64, 14,807.52 and 9,770.40

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Solution

The fourth proportional to 10,754.64, 14,807.52 and 9,770.40 is: 13,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.64 : 14,807.52 = 9,770.40 : x
  2. Step 2: Convert to fraction form
    10,754.64/14,807.52 = 9,770.40/x
  3. Step 3: Cross multiply
    10,754.64x = 14,807.52 × 9,770.40
  4. Step 4: Simplify right side
    10,754.64x = 144,675,393.41
  5. Step 5: Solve for x
    x = 144,675,393.41/10,754.64
  6. Step 6: Final answer
    x = 13,452.37

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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.