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Finding the Fourth Proportional to 30,656.76, 46,007.01 and 13,139.16

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Solution

The fourth proportional to 30,656.76, 46,007.01 and 13,139.16 is: 19,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.76 : 46,007.01 = 13,139.16 : x
  2. Step 2: Convert to fraction form
    30,656.76/46,007.01 = 13,139.16/x
  3. Step 3: Cross multiply
    30,656.76x = 46,007.01 × 13,139.16
  4. Step 4: Simplify right side
    30,656.76x = 604,493,465.51
  5. Step 5: Solve for x
    x = 604,493,465.51/30,656.76
  6. Step 6: Final answer
    x = 19,718.11

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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.