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Finding the Fourth Proportional to 15,978.84, 22,061.07 and 10,316.13

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Solution

The fourth proportional to 15,978.84, 22,061.07 and 10,316.13 is: 14,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.84 : 22,061.07 = 10,316.13 : x
  2. Step 2: Convert to fraction form
    15,978.84/22,061.07 = 10,316.13/x
  3. Step 3: Cross multiply
    15,978.84x = 22,061.07 × 10,316.13
  4. Step 4: Simplify right side
    15,978.84x = 227,584,866.06
  5. Step 5: Solve for x
    x = 227,584,866.06/15,978.84
  6. Step 6: Final answer
    x = 14,242.89

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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.