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Finding the Fourth Proportional to 1,417.49, 2,127.57 and 870.74

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Solution

The fourth proportional to 1,417.49, 2,127.57 and 870.74 is: 1,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.49 : 2,127.57 = 870.74 : x
  2. Step 2: Convert to fraction form
    1,417.49/2,127.57 = 870.74/x
  3. Step 3: Cross multiply
    1,417.49x = 2,127.57 × 870.74
  4. Step 4: Simplify right side
    1,417.49x = 1,852,549.66
  5. Step 5: Solve for x
    x = 1,852,549.66/1,417.49
  6. Step 6: Final answer
    x = 1,306.93

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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.