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Finding the Fourth Proportional to 51,643.40, 77,479.76 and 26,697

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Solution

The fourth proportional to 51,643.40, 77,479.76 and 26,697 is: 40,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,643.40 : 77,479.76 = 26,697 : x
  2. Step 2: Convert to fraction form
    51,643.40/77,479.76 = 26,697/x
  3. Step 3: Cross multiply
    51,643.40x = 77,479.76 × 26,697
  4. Step 4: Simplify right side
    51,643.40x = 2,068,477,152.72
  5. Step 5: Solve for x
    x = 2,068,477,152.72/51,643.40
  6. Step 6: Final answer
    x = 40,053.08

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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.