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Finding the Fourth Proportional to 35,574.32, 53,389.02 and 13,407.86

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Solution

The fourth proportional to 35,574.32, 53,389.02 and 13,407.86 is: 20,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.32 : 53,389.02 = 13,407.86 : x
  2. Step 2: Convert to fraction form
    35,574.32/53,389.02 = 13,407.86/x
  3. Step 3: Cross multiply
    35,574.32x = 53,389.02 × 13,407.86
  4. Step 4: Simplify right side
    35,574.32x = 715,832,689.45
  5. Step 5: Solve for x
    x = 715,832,689.45/35,574.32
  6. Step 6: Final answer
    x = 20,122.17

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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.