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Finding the Fourth Proportional to 15,796, 21,798.48 and 9,509.59

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Solution

The fourth proportional to 15,796, 21,798.48 and 9,509.59 is: 13,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796 : 21,798.48 = 9,509.59 : x
  2. Step 2: Convert to fraction form
    15,796/21,798.48 = 9,509.59/x
  3. Step 3: Cross multiply
    15,796x = 21,798.48 × 9,509.59
  4. Step 4: Simplify right side
    15,796x = 207,294,607.42
  5. Step 5: Solve for x
    x = 207,294,607.42/15,796
  6. Step 6: Final answer
    x = 13,123.23

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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.