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Finding the Fourth Proportional to 15,762.47, 21,752.37 and 8,689.14

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Solution

The fourth proportional to 15,762.47, 21,752.37 and 8,689.14 is: 11,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.47 : 21,752.37 = 8,689.14 : x
  2. Step 2: Convert to fraction form
    15,762.47/21,752.37 = 8,689.14/x
  3. Step 3: Cross multiply
    15,762.47x = 21,752.37 × 8,689.14
  4. Step 4: Simplify right side
    15,762.47x = 189,009,388.26
  5. Step 5: Solve for x
    x = 189,009,388.26/15,762.47
  6. Step 6: Final answer
    x = 11,991.11

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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.