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Finding the Fourth Proportional to 10,691.61, 14,754.06 and 7,509.51

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Solution

The fourth proportional to 10,691.61, 14,754.06 and 7,509.51 is: 10,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.61 : 14,754.06 = 7,509.51 : x
  2. Step 2: Convert to fraction form
    10,691.61/14,754.06 = 7,509.51/x
  3. Step 3: Cross multiply
    10,691.61x = 14,754.06 × 7,509.51
  4. Step 4: Simplify right side
    10,691.61x = 110,795,761.11
  5. Step 5: Solve for x
    x = 110,795,761.11/10,691.61
  6. Step 6: Final answer
    x = 10,362.87

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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.