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Finding the Fourth Proportional to 15,649.47, 21,595.64 and 9,365.31

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Solution

The fourth proportional to 15,649.47, 21,595.64 and 9,365.31 is: 12,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.47 : 21,595.64 = 9,365.31 : x
  2. Step 2: Convert to fraction form
    15,649.47/21,595.64 = 9,365.31/x
  3. Step 3: Cross multiply
    15,649.47x = 21,595.64 × 9,365.31
  4. Step 4: Simplify right side
    15,649.47x = 202,249,816.42
  5. Step 5: Solve for x
    x = 202,249,816.42/15,649.47
  6. Step 6: Final answer
    x = 12,923.75

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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.