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Finding the Fourth Proportional to 15,420.83, 21,284.13 and 9,763.12

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Solution

The fourth proportional to 15,420.83, 21,284.13 and 9,763.12 is: 13,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.83 : 21,284.13 = 9,763.12 : x
  2. Step 2: Convert to fraction form
    15,420.83/21,284.13 = 9,763.12/x
  3. Step 3: Cross multiply
    15,420.83x = 21,284.13 × 9,763.12
  4. Step 4: Simplify right side
    15,420.83x = 207,799,546.29
  5. Step 5: Solve for x
    x = 207,799,546.29/15,420.83
  6. Step 6: Final answer
    x = 13,475.25

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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.