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Finding the Fourth Proportional to 30,646.63, 45,969.94 and 9,870.13

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Solution

The fourth proportional to 30,646.63, 45,969.94 and 9,870.13 is: 14,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.63 : 45,969.94 = 9,870.13 : x
  2. Step 2: Convert to fraction form
    30,646.63/45,969.94 = 9,870.13/x
  3. Step 3: Cross multiply
    30,646.63x = 45,969.94 × 9,870.13
  4. Step 4: Simplify right side
    30,646.63x = 453,729,054.04
  5. Step 5: Solve for x
    x = 453,729,054.04/30,646.63
  6. Step 6: Final answer
    x = 14,805.19

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1.5x scale

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.