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Finding the Fourth Proportional to 15,812.93, 21,820.02 and 9,762.08

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Solution

The fourth proportional to 15,812.93, 21,820.02 and 9,762.08 is: 13,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.93 : 21,820.02 = 9,762.08 : x
  2. Step 2: Convert to fraction form
    15,812.93/21,820.02 = 9,762.08/x
  3. Step 3: Cross multiply
    15,812.93x = 21,820.02 × 9,762.08
  4. Step 4: Simplify right side
    15,812.93x = 213,008,671.74
  5. Step 5: Solve for x
    x = 213,008,671.74/15,812.93
  6. Step 6: Final answer
    x = 13,470.54

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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.