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Finding the Fourth Proportional to 14,782.52, 20,407.40 and 11,417.78

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Solution

The fourth proportional to 14,782.52, 20,407.40 and 11,417.78 is: 15,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.52 : 20,407.40 = 11,417.78 : x
  2. Step 2: Convert to fraction form
    14,782.52/20,407.40 = 11,417.78/x
  3. Step 3: Cross multiply
    14,782.52x = 20,407.40 × 11,417.78
  4. Step 4: Simplify right side
    14,782.52x = 233,007,203.57
  5. Step 5: Solve for x
    x = 233,007,203.57/14,782.52
  6. Step 6: Final answer
    x = 15,762.35

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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.