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Finding the Fourth Proportional to 21,031.84, 31,547.76 and 7,180.84

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Solution

The fourth proportional to 21,031.84, 31,547.76 and 7,180.84 is: 10,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.84 : 31,547.76 = 7,180.84 : x
  2. Step 2: Convert to fraction form
    21,031.84/31,547.76 = 7,180.84/x
  3. Step 3: Cross multiply
    21,031.84x = 31,547.76 × 7,180.84
  4. Step 4: Simplify right side
    21,031.84x = 226,539,416.92
  5. Step 5: Solve for x
    x = 226,539,416.92/21,031.84
  6. Step 6: Final answer
    x = 10,771.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.