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Finding the Fourth Proportional to 15,512, 21,410.40 and 9,547.52

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Solution

The fourth proportional to 15,512, 21,410.40 and 9,547.52 is: 13,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512 : 21,410.40 = 9,547.52 : x
  2. Step 2: Convert to fraction form
    15,512/21,410.40 = 9,547.52/x
  3. Step 3: Cross multiply
    15,512x = 21,410.40 × 9,547.52
  4. Step 4: Simplify right side
    15,512x = 204,416,222.21
  5. Step 5: Solve for x
    x = 204,416,222.21/15,512
  6. Step 6: Final answer
    x = 13,177.94

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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.