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Finding the Fourth Proportional to 9,315.64, 13,973.04 and 2,652.16

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Solution

The fourth proportional to 9,315.64, 13,973.04 and 2,652.16 is: 3,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.64 : 13,973.04 = 2,652.16 : x
  2. Step 2: Convert to fraction form
    9,315.64/13,973.04 = 2,652.16/x
  3. Step 3: Cross multiply
    9,315.64x = 13,973.04 × 2,652.16
  4. Step 4: Simplify right side
    9,315.64x = 37,058,737.77
  5. Step 5: Solve for x
    x = 37,058,737.77/9,315.64
  6. Step 6: Final answer
    x = 3,978.12

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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.