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Finding the Fourth Proportional to 14,290.92, 19,718.08 and 8,319

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Solution

The fourth proportional to 14,290.92, 19,718.08 and 8,319 is: 11,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.92 : 19,718.08 = 8,319 : x
  2. Step 2: Convert to fraction form
    14,290.92/19,718.08 = 8,319/x
  3. Step 3: Cross multiply
    14,290.92x = 19,718.08 × 8,319
  4. Step 4: Simplify right side
    14,290.92x = 164,034,707.52
  5. Step 5: Solve for x
    x = 164,034,707.52/14,290.92
  6. Step 6: Final answer
    x = 11,478.25

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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.