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Finding the Fourth Proportional to 30,421.72, 41,931.72 and 20,346.40

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Solution

The fourth proportional to 30,421.72, 41,931.72 and 20,346.40 is: 28,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,421.72 : 41,931.72 = 20,346.40 : x
  2. Step 2: Convert to fraction form
    30,421.72/41,931.72 = 20,346.40/x
  3. Step 3: Cross multiply
    30,421.72x = 41,931.72 × 20,346.40
  4. Step 4: Simplify right side
    30,421.72x = 853,159,547.81
  5. Step 5: Solve for x
    x = 853,159,547.81/30,421.72
  6. Step 6: Final answer
    x = 28,044.42

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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.