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Finding the Fourth Proportional to 22,929.04, 31,642.36 and 12,859.64

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Solution

The fourth proportional to 22,929.04, 31,642.36 and 12,859.64 is: 17,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,929.04 : 31,642.36 = 12,859.64 : x
  2. Step 2: Convert to fraction form
    22,929.04/31,642.36 = 12,859.64/x
  3. Step 3: Cross multiply
    22,929.04x = 31,642.36 × 12,859.64
  4. Step 4: Simplify right side
    22,929.04x = 406,909,358.35
  5. Step 5: Solve for x
    x = 406,909,358.35/22,929.04
  6. Step 6: Final answer
    x = 17,746.46

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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.