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Finding the Fourth Proportional to 15,567.25, 21,482.81 and 9,978.25

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Solution

The fourth proportional to 15,567.25, 21,482.81 and 9,978.25 is: 13,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567.25 : 21,482.81 = 9,978.25 : x
  2. Step 2: Convert to fraction form
    15,567.25/21,482.81 = 9,978.25/x
  3. Step 3: Cross multiply
    15,567.25x = 21,482.81 × 9,978.25
  4. Step 4: Simplify right side
    15,567.25x = 214,360,848.88
  5. Step 5: Solve for x
    x = 214,360,848.88/15,567.25
  6. Step 6: Final answer
    x = 13,769.99

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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.