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Finding the Fourth Proportional to 10,610, 15,802.93 and 10,054.88

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Solution

The fourth proportional to 10,610, 15,802.93 and 10,054.88 is: 14,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610 : 15,802.93 = 10,054.88 : x
  2. Step 2: Convert to fraction form
    10,610/15,802.93 = 10,054.88/x
  3. Step 3: Cross multiply
    10,610x = 15,802.93 × 10,054.88
  4. Step 4: Simplify right side
    10,610x = 158,896,564.80
  5. Step 5: Solve for x
    x = 158,896,564.80/10,610
  6. Step 6: Final answer
    x = 14,976.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.