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Finding the Fourth Proportional to 13,129.16, 19,695.02 and 4,364.69

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Solution

The fourth proportional to 13,129.16, 19,695.02 and 4,364.69 is: 6,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.16 : 19,695.02 = 4,364.69 : x
  2. Step 2: Convert to fraction form
    13,129.16/19,695.02 = 4,364.69/x
  3. Step 3: Cross multiply
    13,129.16x = 19,695.02 × 4,364.69
  4. Step 4: Simplify right side
    13,129.16x = 85,962,536.55
  5. Step 5: Solve for x
    x = 85,962,536.55/13,129.16
  6. Step 6: Final answer
    x = 6,547.45

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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.