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Finding the Fourth Proportional to 10,477.64, 15,726.79 and 7,696.51

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Solution

The fourth proportional to 10,477.64, 15,726.79 and 7,696.51 is: 11,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.64 : 15,726.79 = 7,696.51 : x
  2. Step 2: Convert to fraction form
    10,477.64/15,726.79 = 7,696.51/x
  3. Step 3: Cross multiply
    10,477.64x = 15,726.79 × 7,696.51
  4. Step 4: Simplify right side
    10,477.64x = 121,041,366.81
  5. Step 5: Solve for x
    x = 121,041,366.81/10,477.64
  6. Step 6: Final answer
    x = 11,552.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.