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Finding the Fourth Proportional to 15,570.52, 21,478.62 and 9,895.48

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Solution

The fourth proportional to 15,570.52, 21,478.62 and 9,895.48 is: 13,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,570.52 : 21,478.62 = 9,895.48 : x
  2. Step 2: Convert to fraction form
    15,570.52/21,478.62 = 9,895.48/x
  3. Step 3: Cross multiply
    15,570.52x = 21,478.62 × 9,895.48
  4. Step 4: Simplify right side
    15,570.52x = 212,541,254.64
  5. Step 5: Solve for x
    x = 212,541,254.64/15,570.52
  6. Step 6: Final answer
    x = 13,650.23

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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.