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Finding the Fourth Proportional to 10,978.51, 15,159.08 and 10,138.91

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Solution

The fourth proportional to 10,978.51, 15,159.08 and 10,138.91 is: 13,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.51 : 15,159.08 = 10,138.91 : x
  2. Step 2: Convert to fraction form
    10,978.51/15,159.08 = 10,138.91/x
  3. Step 3: Cross multiply
    10,978.51x = 15,159.08 × 10,138.91
  4. Step 4: Simplify right side
    10,978.51x = 153,696,497.23
  5. Step 5: Solve for x
    x = 153,696,497.23/10,978.51
  6. Step 6: Final answer
    x = 13,999.76

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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.