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Finding the Fourth Proportional to 15,907.51, 21,946.07 and 9,191.90

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Solution

The fourth proportional to 15,907.51, 21,946.07 and 9,191.90 is: 12,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.51 : 21,946.07 = 9,191.90 : x
  2. Step 2: Convert to fraction form
    15,907.51/21,946.07 = 9,191.90/x
  3. Step 3: Cross multiply
    15,907.51x = 21,946.07 × 9,191.90
  4. Step 4: Simplify right side
    15,907.51x = 201,726,080.83
  5. Step 5: Solve for x
    x = 201,726,080.83/15,907.51
  6. Step 6: Final answer
    x = 12,681.19

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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.