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Finding the Fourth Proportional to 3,509.64, 5,264.04 and 912.51

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Solution

The fourth proportional to 3,509.64, 5,264.04 and 912.51 is: 1,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.64 : 5,264.04 = 912.51 : x
  2. Step 2: Convert to fraction form
    3,509.64/5,264.04 = 912.51/x
  3. Step 3: Cross multiply
    3,509.64x = 5,264.04 × 912.51
  4. Step 4: Simplify right side
    3,509.64x = 4,803,489.14
  5. Step 5: Solve for x
    x = 4,803,489.14/3,509.64
  6. Step 6: Final answer
    x = 1,368.66

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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.