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Finding the Fourth Proportional to 1,409.84, 2,124.02 and 1,070

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Solution

The fourth proportional to 1,409.84, 2,124.02 and 1,070 is: 1,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.84 : 2,124.02 = 1,070 : x
  2. Step 2: Convert to fraction form
    1,409.84/2,124.02 = 1,070/x
  3. Step 3: Cross multiply
    1,409.84x = 2,124.02 × 1,070
  4. Step 4: Simplify right side
    1,409.84x = 2,272,701.40
  5. Step 5: Solve for x
    x = 2,272,701.40/1,409.84
  6. Step 6: Final answer
    x = 1,612.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.