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Finding the Fourth Proportional to 14,582.40, 20,111.20 and 9,275.20

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Solution

The fourth proportional to 14,582.40, 20,111.20 and 9,275.20 is: 12,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.40 : 20,111.20 = 9,275.20 : x
  2. Step 2: Convert to fraction form
    14,582.40/20,111.20 = 9,275.20/x
  3. Step 3: Cross multiply
    14,582.40x = 20,111.20 × 9,275.20
  4. Step 4: Simplify right side
    14,582.40x = 186,535,402.24
  5. Step 5: Solve for x
    x = 186,535,402.24/14,582.40
  6. Step 6: Final answer
    x = 12,791.82

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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.