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Finding the Fourth Proportional to 19,760, 29,646.88 and 9,897.08

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Solution

The fourth proportional to 19,760, 29,646.88 and 9,897.08 is: 14,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760 : 29,646.88 = 9,897.08 : x
  2. Step 2: Convert to fraction form
    19,760/29,646.88 = 9,897.08/x
  3. Step 3: Cross multiply
    19,760x = 29,646.88 × 9,897.08
  4. Step 4: Simplify right side
    19,760x = 293,417,543.11
  5. Step 5: Solve for x
    x = 293,417,543.11/19,760
  6. Step 6: Final answer
    x = 14,849.07

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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.