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Finding the Fourth Proportional to 14,128.43, 19,495.58 and 8,385

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Solution

The fourth proportional to 14,128.43, 19,495.58 and 8,385 is: 11,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.43 : 19,495.58 = 8,385 : x
  2. Step 2: Convert to fraction form
    14,128.43/19,495.58 = 8,385/x
  3. Step 3: Cross multiply
    14,128.43x = 19,495.58 × 8,385
  4. Step 4: Simplify right side
    14,128.43x = 163,470,417.34
  5. Step 5: Solve for x
    x = 163,470,417.34/14,128.43
  6. Step 6: Final answer
    x = 11,570.32

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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.