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Finding the Fourth Proportional to 14,702.94, 20,290.08 and 7,988.51

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Solution

The fourth proportional to 14,702.94, 20,290.08 and 7,988.51 is: 11,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.94 : 20,290.08 = 7,988.51 : x
  2. Step 2: Convert to fraction form
    14,702.94/20,290.08 = 7,988.51/x
  3. Step 3: Cross multiply
    14,702.94x = 20,290.08 × 7,988.51
  4. Step 4: Simplify right side
    14,702.94x = 162,087,405.53
  5. Step 5: Solve for x
    x = 162,087,405.53/14,702.94
  6. Step 6: Final answer
    x = 11,024.15

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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.