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Finding the Fourth Proportional to 19,505.71, 29,259.95 and 9,642.34

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Solution

The fourth proportional to 19,505.71, 29,259.95 and 9,642.34 is: 14,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.71 : 29,259.95 = 9,642.34 : x
  2. Step 2: Convert to fraction form
    19,505.71/29,259.95 = 9,642.34/x
  3. Step 3: Cross multiply
    19,505.71x = 29,259.95 × 9,642.34
  4. Step 4: Simplify right side
    19,505.71x = 282,134,386.28
  5. Step 5: Solve for x
    x = 282,134,386.28/19,505.71
  6. Step 6: Final answer
    x = 14,464.19

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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.