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Finding the Fourth Proportional to 15,918.84, 21,970.80 and 9,203.40

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Solution

The fourth proportional to 15,918.84, 21,970.80 and 9,203.40 is: 12,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,918.84 : 21,970.80 = 9,203.40 : x
  2. Step 2: Convert to fraction form
    15,918.84/21,970.80 = 9,203.40/x
  3. Step 3: Cross multiply
    15,918.84x = 21,970.80 × 9,203.40
  4. Step 4: Simplify right side
    15,918.84x = 202,206,060.72
  5. Step 5: Solve for x
    x = 202,206,060.72/15,918.84
  6. Step 6: Final answer
    x = 12,702.31

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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.