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Finding the Fourth Proportional to 1,402, 1,934.76 and 1,070.80

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Solution

The fourth proportional to 1,402, 1,934.76 and 1,070.80 is: 1,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402 : 1,934.76 = 1,070.80 : x
  2. Step 2: Convert to fraction form
    1,402/1,934.76 = 1,070.80/x
  3. Step 3: Cross multiply
    1,402x = 1,934.76 × 1,070.80
  4. Step 4: Simplify right side
    1,402x = 2,071,741.01
  5. Step 5: Solve for x
    x = 2,071,741.01/1,402
  6. Step 6: Final answer
    x = 1,477.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.