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Finding the Fourth Proportional to 56,400.34, 77,856.48 and 38,007.48

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Solution

The fourth proportional to 56,400.34, 77,856.48 and 38,007.48 is: 52,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,400.34 : 77,856.48 = 38,007.48 : x
  2. Step 2: Convert to fraction form
    56,400.34/77,856.48 = 38,007.48/x
  3. Step 3: Cross multiply
    56,400.34x = 77,856.48 × 38,007.48
  4. Step 4: Simplify right side
    56,400.34x = 2,959,128,407.04
  5. Step 5: Solve for x
    x = 2,959,128,407.04/56,400.34
  6. Step 6: Final answer
    x = 52,466.50

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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.