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Finding the Fourth Proportional to 38,920.40, 53,711.64 and 21,931.40

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Solution

The fourth proportional to 38,920.40, 53,711.64 and 21,931.40 is: 30,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,920.40 : 53,711.64 = 21,931.40 : x
  2. Step 2: Convert to fraction form
    38,920.40/53,711.64 = 21,931.40/x
  3. Step 3: Cross multiply
    38,920.40x = 53,711.64 × 21,931.40
  4. Step 4: Simplify right side
    38,920.40x = 1,177,971,461.50
  5. Step 5: Solve for x
    x = 1,177,971,461.50/38,920.40
  6. Step 6: Final answer
    x = 30,266.17

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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.